6
QuizMultiple Choice

Solving Quadratic Equations by Factoring

Question 6 • [INMT3] Integrated Math 3 Sem 1 (26-27)

The square of a number is 12 less than 7 times the number. What is the number?

Answer
A
–4 or –3
B
–4 or 3
C
–3 or 4
D
3 or 4

Explanation

Let the number be x. “The square of a number is 12 less than 7 times the number” gives x² = 7x − 12. Rearranging and factoring gives x² − 7x + 12 = (x − 3)(x − 4) = 0, so x is 3 or 4. The correct choice is “3 or 4.”

AI-written and checked against the verified answer.

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