Q. 13.6( 19 Votes )

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

x2 - 6x + 3 = 0

Answer :

Given: x2 - 6x + 3 = 0

x2 - 6x = - 3


x2 - 2.x.3 + 32 = - 3 + 32 (adding 32 on both sides)


(x - 3)2 = - 3 + 9 = 6 using a2 - 2ab + b2 = (a - b)2


(taking square root on both sides)




Hence the roots of equation are


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