Question

Find x if , √(1+x√(x²+24)) = x+1​

Answer 1

Answer:

square both sides

1+x√(x^2+24)=x^2+2x+1

x√(x^2+24)=x^2+2x=x(x+2)

Divide both sides by x (this gives one solution of x=0) again square both sides

x^2+24= x^2+4x+4

4x=20

x=5

So there are two values of x: 0 and 5