type the correct answer in each box.

solve the quadratic equation. write your solutions in the blanks, starting with the smaller value.

(4x^2 - 7 = 9)

solution: { , }

Question

type the correct answer in each box.

solve the quadratic equation. write your solutions in the blanks, starting with the smaller value.

(4x^2 - 7 = 9)

solution: {  ,   }

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Standard Form" ], "new_concepts": [ "Solving Quadratic Equations by Square Roots" ], "current_concepts": [ "Quadratic Standard Form", "Solving Quadratic Equations by Square Roots" ] } ## Isolate the quadratic term $$ \begin{aligned} 4x^2 - 7 &= 9 \ 4x^2 &= 16 \end{aligned} $$ ## Solve for x squared $$ \begin{aligned} x^2 &= \frac{16}{4} \ x^2 &= 4 \end{aligned} $$ ## Take the square root of both sides $$ \begin{aligned} x &= \pm\sqrt{4} \ x &= \pm 2 \end{aligned} $$ Solve the quadratic equation. Write your solutions in the blanks, starting with the smaller value. $4x^2-7 = 9$ Solution: { -2, 2 } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations by Square Roots" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Isolate the quadratic term

Solve for x squared

Take the square root of both sides

Answer: