solve for x using the quadratic formula.

\9x^2 - 148x + 64 = 0\

\x = \frac{?}{\quad}, \quad\

enter the smallest solution first.

quadratic formula: \x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\

Question

solve for x using the quadratic formula.

\9x^2 - 148x + 64 = 0\

\x = \frac{?}{\quad}, \quad\

enter the smallest solution first.

quadratic formula: \x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\

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 $$ a = 9, \quad b = -148, \quad c = 64 $$ ## Calculate the discriminant $$ \begin{aligned} D &= b^2 - 4ac \ &= (-148)^2 - 4(9)(64) \ &= 21904 - 2304 \ &= 19600 \ \sqrt{D} &= \sqrt{19600} = 140 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \ x &= \frac{148 \pm 140}{18} \ x_1 &= \frac{148 - 140}{18} = \frac{8}{18} = \frac{4}{9} \ x_2 &= \frac{148 + 140}{18} = \frac{288}{18} = 16 \end{aligned} $$ Solve for x using the quadratic formula. $$9x^2 - 148x + 64 = 0$$ $x =$ $\frac{4}{9}$, $16$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Formula" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify coefficients

Calculate the discriminant

Solve for x

Answer: