select the correct answer.

what is the solution to the equation?

$-2\sqrt{x} + 4 = -12$

4
8
16
64

Question

select the correct answer.

what is the solution to the equation?

$-2\sqrt{x} + 4 = -12$

4
8
16
64

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Radical Equations" ], "new_concepts": [], "current_concepts": [ "Radical Equations" ] } ## Isolate the radical term $$ \begin{aligned} -2\sqrt{x} + 4 &= -12 \ -2\sqrt{x} &= -16 \ \sqrt{x} &= 8 \end{aligned} $$ ## Solve for x $$ \begin{aligned} (\sqrt{x})^2 &= 8^2 \ x &= 64 \end{aligned} $$ ## Verify the solution $$ \begin{aligned} -2\sqrt{64} + 4 &= -2(8) + 4 \ &= -16 + 4 \ &= -12 \end{aligned} $$

(A) 4

(B) 8

(C) 16

(D) 64

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Radical Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Isolate the radical term

Solve for x

Verify the solution

Answer: