5.

use the square root property to solve the equation. (enter your answers as a comma-separated list.)

\6x^2 = -672\

$x =$

submit answer

Question

5.

use the square root property to solve the equation. (enter your answers as a comma-separated list.)

\6x^2 = -672\

$x =$

submit answer

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Square Root Property", "Solving Quadratic Equations" ], "current_concepts": [ "Square Root Property", "Solving Quadratic Equations", "Imaginary Numbers", "Simplifying Radicals" ] } ## Isolate the squared term $$ \begin{aligned} 6x^2 &= -672 \ x^2 &= \frac{-672}{6} \ x^2 &= -112 \end{aligned} $$ ## Apply the Square Root Property $$ \begin{aligned} x &= \pm\sqrt{-112} \ x &= \pm i\sqrt{112} \end{aligned} $$ ## Simplify the radical $$ \begin{aligned} 112 &= 16 \times 7 \ x &= \pm i\sqrt{16 \times 7} \ x &= \pm 4i\sqrt{7} \end{aligned} $$ Use the Square Root Property to solve the equation. (Enter your answers as a comma-separated list.) $6x^2 = -672$ $x =$ $4i\sqrt{7}, -4i\sqrt{7}$ { "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 squared term

Apply the Square Root Property

Simplify the radical

Answer: