consider the following quadratic equation:
\x^2 = 49\
step 2 of 2: solve the quadratic equation by factoring. write your answer in reduced fraction form, if necessary.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Standard Form of Quadratic Equations", "Difference of Squares", "Zero Product Property" ], "new_concepts": [], "current_concepts": [ "Standard Form of Quadratic Equations", "Difference of Squares", "Zero Product Property", "Solving Quadratic Equations" ] } ## Write in standard form Using the *Standard Form of Quadratic Equations* knowledge point $$ \begin{aligned} x^2 &= 49 \ x^2 - 49 &= 0 \end{aligned} $$ ## Factor the binomial Using the *Difference of Squares* knowledge point $$ \begin{aligned} x^2 - 7^2 &= 0 \ (x - 7)(x + 7) &= 0 \end{aligned} $$ ## Solve for x Using the *Zero Product Property* knowledge point $$ \begin{aligned} x - 7 = 0 &\implies x = 7 \ x + 7 = 0 &\implies x = -7 \end{aligned} $$ Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary. $x =$ -7 , $x =$ 7 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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Question

Explanation:

Write in standard form

Factor the binomial

Solve for x

Answer: