Question

Solve √(x+4) -√(x-4) = √(x-1)

Answer 1

Answer:

x= 5 or x= -13/3

Step-by-step explanation:

√(x+4) -√(x-4) = √(x-1)

squaring both sides,

(x+4) + (x-4) -2√x^2 -16 = x-1

x+1 = 2√x^2-16

squaring both sides,

x^2 + 1 + 2x = 4x^2 - 64

3x^2 - 2x - 65 = 0

by quadratic equation,

x = 5 or x= -13/3