Question

find the roots of the equation x^2 -6x-2=0 by method completing square ​

Answer 1

SOLUTION:

f(x) = x^2 -6x -2 = 0

x^2 -2*(x)*(3) -2 = 0

Additing 9 both the sides, we get

x^2 -2*x*3 +9-2 = 9

x^2 -2*x*3 +9 = 9+2

(x-3)^2 = 11

x-3 = √11 or x-3 = 3+√11

So, x = √11+3 or 3-√11.

So, roots are 3-√11 and 3+√11.

Hope this helps