solve (16x^2 - 25 = 0).

(x =)

and

(x =)

Question

solve (16x^2 - 25 = 0).

(x =)

and

(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 Equations", "Solving for Variables" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations", "Solving for Variables" ] } ## Isolate the quadratic term $$ \begin{aligned} 16x^2 - 25 &= 0 \ 16x^2 &= 25 \end{aligned} $$ ## Solve for x squared $$ x^2 = \frac{25}{16} $$ ## Take the square root of both sides $$ \begin{aligned} x &= \pm\sqrt{\frac{25}{16}} \ x &= \pm\frac{5}{4} \end{aligned} $$ Solve $16x^2-25=0$. $x =$ $\frac{5}{4}$ and $x =$ $-\frac{5}{4}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Isolate the quadratic term

Solve for x squared

Take the square root of both sides

Answer: