Answer:
x = 2i + 3 or -2i + 3
Step-by-step explanation:
Solving equation by completing the square:
x² - 6x = -13
1.Divide the coefficient of x by 2.
6 ÷ 2 = 3
2. Find the square of the result of step 1 and add it to both sides.
- (3)² = 9
- x² - 6x + 9 = -13 + 9
- x² - 2*x * 3 + 3² = -4
- (x - 3)² = (2i)² {i² = -1}
- Take square root,
- x - 3 = ±2i
- x -3 = 2i or x - 3 = -2i
- x = 2i+3 ; x = -2i + 3
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