Q. 35.0( 5 Votes )

Solve each of the following equations by using the method of completing the square:

x2 + 8x - 2 = 0

Answer :

Given: x2 + 8x - 2 = 0

x2 + 8x = 2


x2 + 2.x.4 + 42 = 2 + 42 (adding 42 on both sides)


(x + 4)2 = 2 + 16 = 18 using a2 + 2ab + b2 = (a + b)2


(taking square root on both sides)




Hence the roots of equation are


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