We have the equation x^2 + 2x - 8 = 0 to solve by completion of
square.
We know that (a + b)^2 = a^2 + b^2 +
2ab
x^2 + 2x - 8 = 0
=> x^2 + 2x
+ 1 - 8 -1 = 0
=> (x + 1)^2 - 9 =
0
=> (x + 1)^2 = 9
Now we
get
x + 1 = sqrt 9 and x + 1 = -sqrt
9
x = -1 + sqrt 9 and x = -1 - sqrt 9
x
= -1 + 3 and x = -1 - 3
x = 2 and x =
-4
The solution of the equation is x = 2 and x =
-4
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