select all of the values that are solutions of $x^2 + 20 = 12x$

$x = -10$
$x = -2$
$x = 2$
$x = 10$

Question

select all of the values that are solutions of $x^2 + 20 = 12x$

$x = -10$
  $x = -2$
  $x = 2$
  $x = 10$

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", "Quadratic Functions" ] } ## Rearrange the quadratic equation into standard form $$ \begin{aligned} x^2 + 20 &= 12x \ x^2 - 12x + 20 &= 0 \end{aligned} $$ ## Factor the quadratic equation $$ \begin{aligned} (x - 2)(x - 10) &= 0 \end{aligned} $$ ## Solve for the roots $$ \begin{aligned} x - 2 = 0 &\implies x = 2 \ x - 10 = 0 &\implies x = 10 \end{aligned} $$

$x = -10$

$x = -2$

$x = 2$

$x = 10$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Rearrange the quadratic equation into standard form

Factor the quadratic equation

Solve for the roots

Answer: