solve for (m):
(m^2 - 27m = 0)

a. 0, 27
b. 0, -27
c. 27
d. 0

Question

solve for (m):
(m^2 - 27m = 0)

a. 0, 27
b. 0, -27
c. 27
d. 0

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Quadratic Equations" ] } ## Rewrite the equation in standard form Using the *Quadratic Equations* knowledge point $$ m^2 - 27m = 0 $$ ## Factor out the greatest common factor Using the *Quadratic Equations* knowledge point $$ m(m - 27) = 0 $$ ## Set each factor to zero and solve Using the *Quadratic Equations* knowledge point $$ \begin{aligned} m = 0 \quad &\text{or} \quad m - 27 = 0 \ m = 0 \quad &\text{or} \quad m = 27 \end{aligned} $$

(a) 0, 27

(b) 0, -27

(c) 27

(d) 0

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Rewrite the equation in standard form

Factor out the greatest common factor

Set each factor to zero and solve

Answer: