solve the equation.

\45 + 2m^2 = 63\

\m = \pm ?\

Question

solve the equation.

\45 + 2m^2 = 63\

\m = \pm ?\

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", "Square Root Property" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Square Root Property" ] } ## Isolate the quadratic term Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} 45 + 2m^2 &= 63 \ 2m^2 &= 63 - 45 \ 2m^2 &= 18 \end{aligned} $$ ## Divide by the coefficient Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} m^2 &= \frac{18}{2} \ m^2 &= 9 \end{aligned} $$ ## Apply the square root property Using the **Square Root Property** knowledge point $$ \begin{aligned} m &= \pm\sqrt{9} \ m &= \pm 3 \end{aligned} $$ Solve the equation. $45 + 2m^2 = 63$ $m = \pm$ 3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the quadratic term

Divide by the coefficient

Apply the square root property

Answer: