Solve x square - 2 X + 3 by 2 is equal to zero using the method of completing square
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- x² - 2x + 3 = 0
Multiply by -1 through:
x² + 2x - 3 = 0
Add 3 from both sides:
x² + 2x = 3
Add (b/2)² on both sides:
x² + 2x + (2/2)² = 3 + (2/2)²
x² + 2x + 1 = +3 + 1
x² + 2x + 1 = -4
Form the perfect square:
(x + 1)² = 4
Square root both sides:
x + 1 = ±√4
x + 1 = ±2
x = 2 - 1 or x = -2 - 1
x = 1 or x = -3
Answer: x = 1 or x = -3
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