Question

Find the roots of the equation : x + root over x-2 = 4

Answer 1

x+root (x-2)= 4
x-4= - root(x-2)
Now, on squaring both sides

(x-4)^2 =x-2
x^2 +16-8x= x-2
x^2 - 9x +18 =0

Now, By splitting the middle term

x^2 - 6x - 3x +18= 0
x(x-6) - 3(x-6)=0
(x-6)(x-3)=0

Roots will be 6 and 3