Q. 24.3( 8 Votes )
Solve each of the following equations by using the method of completing the square:
x2 - 4x + 1 = 0
Answer :
Given: x2 - 4x + 1 = 0
x2 - 4x = - 1
x2 - 2.x.2 + 22 = - 1 + 22 (adding 22 on both sides)
(x - 2)2 = - 1 + 4 = 3 using a2 - 2ab + b2 = (a - b)2
(taking square root on both sides)
Hence the roots of equation are 
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