14
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 14 • CMS 2026-2027 Foundations of Math 3 INITIAL CREDIT

Solve for x in the equation x squared minus 12 x plus 36 is equal to 90

Answer
A
x is equal to 6 plus or minus 2 square root of 7
B
x is equal to 12 plus or minus 3 square root of 10
C
x is equal to 6 plus or minus 3 square root of 10
D
x is equal to 12 plus or minus 3 square root of 22

Explanation

Rewrite the left side as a perfect square: x² − 12x + 36 = (x − 6)². Then (x − 6)² = 90, so x − 6 = ±√90 = ±3√10. Therefore x = 6 ± 3√10, which is choice D.

AI-written and checked against the verified answer.

Previous
Next