9
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 9 • CMS 2026-2027 Foundations of Math 3 INITIAL CREDIT

Solve for x in the equation x squared minus 8 x plus 41 is equal to 0

Answer
A
x is equal to negative 4 plus or minus 5 i
B
x is equal to negative 4 plus or minus square root of 37 i
C
x is equal to 4 plus or minus square root of 37 i
D
x is equal to 4 plus or minus 5 i

Explanation

Use the quadratic formula for x² − 8x + 41 = 0. The discriminant is (−8)² − 4(1)(41) = 64 − 164 = −100, so its square root is 10i. Thus x = (8 ± 10i)/2 = 4 ± 5i, which is choice C.

AI-written and checked against the verified answer.

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