solve the quadratic function by factoring.
\y = 4x^2 - 13x + 10\
first, factor the quadratic.
enter the number that belongs in the green box.
\y = (4x - 5)(x - 2)\
so the solutions will be:
\4x - 5 = 0\
\x = \frac{?}{}\
\x - 2 = 0\
\x = \

Question

solve the quadratic function by factoring.
\y = 4x^2 - 13x + 10\
first, factor the quadratic.
enter the number that belongs in the green box.
\y = (4x - 5)(x - 2)\
so the solutions will be:
\4x - 5 = 0\
\x = \frac{?}{}\
\x - 2 = 0\
\x =  \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations", "Polynomial Factoring" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Polynomial Factoring" ] } ## Set the first factor to zero Using the **Solving Quadratic Equations** knowledge point $$ 4x - 5 = 0 $$ ## Solve for x Using the **Solving Quadratic Equations** knowledge point $$ \begin{aligned} 4x &= 5 \ x &= \frac{5}{4} \end{aligned} $$ ## Identify the value in the green box Using the **Solving Quadratic Equations** knowledge point The fraction is $\frac{5}{4}$. The green box containing the question mark is the numerator. $$ \text{Numerator} = 5 $$ Enter the number that belongs in the green box. $x = \frac{\text{5}}{\text{ }}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set the first factor to zero

Solve for x

Identify the value in the green box

Answer: