Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Solve the equation \(x^2 - 2x + 5 = 0\).
Options
A \(1 + 2i\)
Correct Answer
B \(-1 \pm 2i\)
C \(2 \pm 2i\)
D \(-2 \pm 2i\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using quadratic formula: x = [2 ± √(4 - 20)]/2 = [2 ± √(-16)]/2 = [2 ± 4i]/2 = 1 ± 2i. So x = 1+2i or 1-2i. Option A is 1+2i (one root).

Hint

Use x = [-b ± √(b²-4ac)]/(2a).

Question Info