16
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 16 • Algebra II

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 4 plus or minus square root of 37 i
C
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 the solutions are (8 ± √−100)/2 = (8 ± 10i)/2 = 4 ± 5i. Therefore, the correct choice is x = 4 plus or minus 5i.

AI-written and checked against the verified answer.

Previous
Next