choose the equation that represents the solutions of $0 = 0.25x^2 - 8x$

$x = \frac{0.25 \pm \sqrt{(0.25)^2 - (4)(1)(-8)}}{2(1)}$

$x = \frac{-0.25 \pm \sqrt{(0.25)^2 - (4)(1)(-8)}}{2(1)}$

$x = \frac{8 \pm \sqrt{(-8)^2 - (4)(0.25)(0)}}{2(0.25)}$

$x = \frac{-8 \pm \sqrt{(-8)^2 - (4)(0.25)(0)}}{2(0.25)}$

Question

choose the equation that represents the solutions of $0 = 0.25x^2 - 8x$

$x = \frac{0.25 \pm \sqrt{(0.25)^2 - (4)(1)(-8)}}{2(1)}$

$x = \frac{-0.25 \pm \sqrt{(0.25)^2 - (4)(1)(-8)}}{2(1)}$

$x = \frac{8 \pm \sqrt{(-8)^2 - (4)(0.25)(0)}}{2(0.25)}$

$x = \frac{-8 \pm \sqrt{(-8)^2 - (4)(0.25)(0)}}{2(0.25)}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Quadratic Functions" ] } ## Identify coefficients of the quadratic equation $$ \begin{aligned} &ax^2 + bx + c = 0 \ &0.25x^2 - 8x + 0 = 0 \ &a = 0.25, \quad b = -8, \quad c = 0 \end{aligned} $$ ## Apply the quadratic formula $$ \begin{aligned} &x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \ &x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(0.25)(0)}}{2(0.25)} \ &x = \frac{8 \pm \sqrt{(-8)^2 - 4(0.25)(0)}}{2(0.25)} \end{aligned} $$

(A) $x = \frac{0.25 \pm \sqrt{(0.25)^2 - (4)(1)(-8)}}{2(1)}$

(B) $x = \frac{-0.25 \pm \sqrt{(0.25)^2 - (4)(1)(-8)}}{2(1)}$

(C) $x = \frac{8 \pm \sqrt{(-8)^2 - (4)(0.25)(0)}}{2(0.25)}$

(D) $x = \frac{-8 \pm \sqrt{(-8)^2 - (4)(0.25)(0)}}{2(0.25)}$

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

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QUESTION IMAGE

Question

Explanation:

Identify coefficients of the quadratic equation

Apply the quadratic formula

Answer: