Find the roots of the following quadratic equations by the method of completing the square:- (f)x2 - 2√5 x + 1 = 0
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x²-2√5x+1=0
x²-2√5x = -1 (comparing x²-2√5x with x²- 2xy we get 2xy = 2√5x, which leaves y = √5 , therefore y² = 5)
adding (y² =) 5 to both sides.
x²-2√5x + 5 = 5 -1
(x-√5)²= 2²
imply
x= √5 +2 or
x= √5 - 2
Step-by-step explanation:
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