consider the following quadratic equation:
\4x^2 = 9\
step 2 of 2: solve the quadratic equation by factoring. write your answer in reduced fraction form, if necessary.

answer
how to enter your answer (opens in new window)
\x = \
\x = \

Question

consider the following quadratic equation:
\4x^2 = 9\
step 2 of 2: solve the quadratic equation by factoring. write your answer in reduced fraction form, if necessary.

answer
how to enter your answer (opens in new window)
\x = \
\x = \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations", "Factoring Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Factoring Quadratic Equations", "Difference of Squares" ] } ## Write the equation in standard form Using the *Solving Quadratic Equations* knowledge point $$ \begin{aligned} &4x^2 = 9 \ &4x^2 - 9 = 0 \end{aligned} $$ ## Factor the quadratic expression Using the *Factoring Quadratic Equations* knowledge point $$ \begin{aligned} &(2x)^2 - 3^2 = 0 \ &(2x - 3)(2x + 3) = 0 \end{aligned} $$ ## Solve for x using the zero product property Using the *Solving Quadratic Equations* knowledge point $$ \begin{aligned} 2x - 3 = 0 &\implies x = \frac{3}{2} \ 2x + 3 = 0 &\implies x = -\frac{3}{2} \end{aligned} $$ Consider the following quadratic equation: $$4x^2 = 9$$ Step 2 of 2 : Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary. $x =$ $\frac{3}{2}$ $x =$ $-\frac{3}{2}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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Question

Explanation:

Write the equation in standard form

Factor the quadratic expression

Solve for x using the zero product property

Answer: