solve the following quadratic function by utilizing the square root method.

\y = 2(x - 5)^2 - 26\

\x = ? \pm \sqrt{\quad}\

Question

solve the following quadratic function by utilizing the square root method.

\y = 2(x - 5)^2 - 26\

\x = ? \pm \sqrt{\quad}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Square Root Method", "Solving Quadratic Functions" ], "new_concepts": [], "current_concepts": [ "Square Root Method", "Solving Quadratic Functions" ] } ## Set the quadratic function to zero $$ 2(x-5)^2 - 26 = 0 $$ ## Isolate the squared binomial term $$ \begin{aligned} 2(x-5)^2 &= 26 \ (x-5)^2 &= 13 \end{aligned} $$ ## Apply the square root method $$ \begin{aligned} x-5 &= \pm\sqrt{13} \ x &= 5 \pm\sqrt{13} \end{aligned} $$ Solve the following quadratic function by utilizing the square root method. $y = 2(x - 5)^2 - 26$ $x =$ $5$ $\pm \sqrt{\text{\quad}}$ $13$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set the quadratic function to zero

Isolate the squared binomial term

Apply the square root method

Answer: