x2+11x+24=0 solve using square method
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x^2 + 11x + 24 = 0
=> x^2 + 11x = - 24
=> (x)^2 + 2(x)(11/2) = - 24
=> (x)^2 + 2(x)(11/2) + (11/2)^2 = - 24 + (11/2)^2
=> (x + 11/2)^2 = - 24 + 121/4
=> (x + 11/2)^2 = 25/4
=> x + 11/2 = ± √25/4 = ± 5/2
=> x = ± 5/2 - 11/2 = (± 5 - 11)/2
∴ Either x = (5 + 11)/2 or, x = (- 5 + 11)/2
=> either x = 8 or, x = 3.
Therefore, x = 8 or 3.
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