solve for x using the quadratic formula.

\4x^2 - 40x + 100 = 0\

\x = ?\

Question

solve for x using the quadratic formula.

\4x^2 - 40x + 100 = 0\

\x = ?\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Formula" ], "new_concepts": [], "current_concepts": [ "Quadratic Formula", "Solving Quadratic Functions" ] } ## Identify coefficients from the quadratic equation $$ \begin{aligned} &4x^2 - 40x + 100 = 0\ &a = 4,\quad b = -40,\quad c = 100 \end{aligned} $$ ## Apply the quadratic formula $$ \begin{aligned} x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\ x &= \frac{-(-40) \pm \sqrt{(-40)^2 - 4(4)(100)}}{2(4)}\ x &= \frac{40 \pm \sqrt{1600 - 1600}}{8} \end{aligned} $$ ## Simplify the expression to find x $$ \begin{aligned} x &= \frac{40 \pm \sqrt{0}}{8}\ x &= \frac{40}{8}\ x &= 5 \end{aligned} $$ Solve for x using the quadratic formula. $4x^2 - 40x + 100 = 0$ $x =$ 5 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify coefficients from the quadratic equation

Apply the quadratic formula

Simplify the expression to find x

Answer: