solve the radical equation for Xbox Xsqrt x35Solutionx sqrt

solve the radical equation for Xbox
X=sqrt x-3+5

Solution

x = sqrt(x-3) +5

Rearraning : (x-5) = sqrt(x-3)

squaring both sides:

(x-5)^2 = (x-3)

x^2 +25 -10x = x-3

x^2 -11x +28 =0

x^2 -7x -4x +28 =0

x(x-7) -4(x-7) =0

(x-4)(x-7) =0

x= 4, x= 7 Solution