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Express x^2+5x-2 in the form of a(x+h)^2+k. Hence solve x^2+5x-2=0

 Oct 4, 2016
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We'll use "completing the square" method here...

 

x^2+5x-2 = 0     take 1/2 of the 'x' number  2.5    square it ...and add it to both sides

x^2 + 5x + 6.25  -2 = 6.25

(x+2.5)^2   - 8.25 = 0

(1) (x+2.5)^2 - 8.25  = 0        There ya go !     a= 1   k = -8.25   h= 2.5

 Oct 4, 2016

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