Question

Find the roots of the following quadratic equations by the method of completing the square:- (f)x2 - 2√5 x + 1 = 0
Please Answer quickly

Answer 1

Answer:

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: