solve the following quadratic equation by completing square x2+8x+9=0
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" x² + 8x - 9 = 0
. => x² + 8x + 16 - 25 = 0
.=> ( x + 4 )² = 25
.(i)
.=> x + 4 = ± 5
.=> x = (-5-4) , (5-4)
.=> x = -9 or 1
.(ii)
.=> ( x + 4 )² - 25 = 0
.=> (x + 4 + 5) (x + 4 - 5) = 0
.=> (x + 9) (x - 9) = 0
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