A3.2: Solve quadratic equations using graphing, factoring, and the quadratic equation/A) Factored Form Solve Quadratic Equation Factored Form 1

Solve the following quadratic equation:

\( (x-3)(x+2)=0 \)

Write your answers separated by a comma (no space) with the lower value of x first, then the larger value of x if there are two distinct solutions.

]]> 1.0000000 0.3333333 0 0 -2,3 Solve Quadratic Equation Factored Form 2

Solve the following quadratic equation:

\( (x-4)(x-5)=0 \)

Write your answers separated by a comma (no space) with the lower value of x first, then the larger value of x if there are two distinct solutions.

]]> 1.0000000 0.3333333 0 0 4,5 Solve Quadratic Equation Factored Form 3

Solve the following quadratic equation:

\( (x+2)(x+3)=0 \)

Write your answers separated by a comma (no space) with the lower value of x first, then the larger value of x if there are two distinct solutions.

]]> 1.0000000 0.3333333 0 0 -3,-2 Solve Quadratic Equation Factored Form 4

Solve the following quadratic equation:

\( (x)(x+3)=0 \)

Write your answers separated by a comma (no space) with the lower value of x first, then the larger value of x if there are two distinct solutions.

]]> 1.0000000 0.3333333 0 0 -3,0 Solve Quadratic Equation Factored Form 5

Solve the following quadratic equation:

\( (x-2)(x+7)=0 \)

Write your answers separated by a comma (no space) with the lower value of x first, then the larger value of x if there are two distinct solutions.

]]> 1.0000000 0.3333333 0 0 -7,2 A3.2: Solve quadratic equations using graphing, factoring, and the quadratic equation/B) Standard Quadratic Form Solve Standard Form 1 Solve the following quadratic equation:

\( 2x^2+2x-10 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 -1±212]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>1</mn><mo>±</mo><msqrt><mn>21</mn></msqrt></mrow><mn>2</mn></mfrac></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_rationalized"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 10 Solve the following quadratic equation:

\( x^2-12x-38=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 6±74]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>±</mo><msqrt><mn>74</mn></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 2 Solve the following quadratic equation:

\( x^2-4x+15=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 2±i11]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>±</mo><mi mathvariant="normal">i</mi><msqrt><mn>11</mn></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 3 Solve the following quadratic equation:

\( x^2-4x+1=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 2±3]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>±</mo><msqrt><mn>3</mn></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 4 Solve the following quadratic equation:

\( 2x^2+11x-21=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 32,-7]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced open="{" close="}"><mrow><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>,</mo><mo>-</mo><mn>7</mn></mrow></mfenced></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 5 Solve the following quadratic equation:

\( x^2+12x+36=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 -6]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>6</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 6 Solve the following quadratic equation:

\( 3x^2+4x=8 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 -2±273]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>2</mn><mo>±</mo><mn>2</mn><msqrt><mn>7</mn></msqrt></mrow><mn>3</mn></mfrac></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 7 Solve the following quadratic equation:

\( x^2-4x+7=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 2±i3]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>±</mo><mi mathvariant="normal">i</mi><msqrt><mn>3</mn></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 8 Solve the following quadratic equation:

\( 7x^2+3=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 ±i37]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>±</mo><mi mathvariant="normal">i</mi><msqrt><mfrac><mn>3</mn><mn>7</mn></mfrac></msqrt></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Solve Standard Form 9 Solve the following quadratic equation:

\( 2x^2+6x-3=0 \)

If your answers are rational, put them in braces {} separated by commas. If your answers are irrational put your answer with the +/- sign in simplest radical form.

]]> 1.0000000 0.3333333 0 0 -3±152]]> <question><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>3</mn><mo>±</mo><msqrt><mn>15</mn></msqrt></mrow><mn>2</mn></mfrac></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_minimal_radicands"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">B7</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="inputField">inlineEditor</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>