Friday, August 9, 2013

How to determine the solutions of equation x^2+2x-8=0, completing the square?

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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