name the two solutions of (25 = (x - 3)^2).

solutions = and

Question

name the two solutions of (25 = (x - 3)^2).

solutions =   and

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations" ] } ## Take the square root of both sides $$ \begin{aligned} (x - 3)^2 &= 25 \ x - 3 &= \pm\sqrt{25} \ x - 3 &= \pm 5 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= 3 \pm 5 \ x_1 &= 3 + 5 = 8 \ x_2 &= 3 - 5 = -2 \end{aligned} $$ Name the two solutions of $25 = (x - 3)^2$. solutions = -2 and 8 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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Question

Explanation:

Take the square root of both sides

Solve for x

Answer: