select the correct answer.

which equation could be solved using this application of the quadratic formula?
\x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)}\

- $-2x^2 - 8 = 10x - 3$
- $3x^2 - 8x - 10 = 4$
- $3x^2 + 8x - 10 = -8$
- $-2x^2 + 8x - 3 = 4$

Question

select the correct answer.

which equation could be solved using this application of the quadratic formula?
\x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)}\

- $-2x^2 - 8 = 10x - 3$
- $3x^2 - 8x - 10 = 4$
- $3x^2 + 8x - 10 = -8$
- $-2x^2 + 8x - 3 = 4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Formula Application" ], "new_concepts": [], "current_concepts": [ "Quadratic Formula Application" ] } ## Identify coefficients from the quadratic formula application $$ \begin{aligned} &x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \ &x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)} \ &a = 3, \quad b = 8, \quad c = -2 \end{aligned} $$ ## Formulate the standard quadratic equation $$ \begin{aligned} &ax^2 + bx + c = 0 \ &3x^2 + 8x - 2 = 0 \end{aligned} $$ ## Match with the given options by algebraic rearrangement $$ \begin{aligned} &3x^2 + 8x - 10 = -8 \ &3x^2 + 8x - 10 + 8 = 0 \ &3x^2 + 8x - 2 = 0 \end{aligned} $$

(A) $-2x^2 - 8 = 10x - 3$

(B) $3x^2 - 8x - 10 = 4$

(C) $3x^2 + 8x - 10 = -8$

(D) $-2x^2 + 8x - 3 = 4$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Formula Application" ] }

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QUESTION IMAGE

Question

Explanation:

Identify coefficients from the quadratic formula application

Formulate the standard quadratic equation

Match with the given options by algebraic rearrangement

Answer: