which equation has solutions of 6 and -6?

$x^2 - 12x + 36 = 0$
$x^2 + 12x - 36 = 0$
$x^2 + 36 = 0$
$x^2 - 36 = 0$

Question

which equation has solutions of 6 and -6?

$x^2 - 12x + 36 = 0$
$x^2 + 12x - 36 = 0$
$x^2 + 36 = 0$
$x^2 - 36 = 0$

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", "Zeros of Quadratic Functions" ] } ## Formulate the quadratic equation from its roots $$ \begin{aligned} (x - 6)(x - (-6)) &= 0 \ (x - 6)(x + 6) &= 0 \end{aligned} $$ ## Expand the factored expression $$ \begin{aligned} x^2 - 6^2 &= 0 \ x^2 - 36 &= 0 \end{aligned} $$

(A) $x^2 - 12x + 36 = 0$

(B) $x^2 + 12x - 36 = 0$

(C) $x^2 + 36 = 0$

(D) $x^2 - 36 = 0$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Formulate the quadratic equation from its roots

Expand the factored expression

Answer: