Solve the following quadratic equation by completing square method x2+2x-7=0
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Step-by-step explanation:
x² + 2x - 7 = 0
=> x² + 2x + 1² = 7 + 1²
[ add square of half the coefficient of x to both sides]
=> x² + 2x + 1 = 8
=> (x + 1)² = 8
=> x + 1 = √8
=> x + 1 = ± 2√2
=> x = ± 2√2 - 1
therefore x = 2√2 - 1 and x = -2√2 - 1
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