Solve the following equation by making an appropriate substi

Solve the following equation by making an appropriate substitution. x -16 squareroot x + 48 = 0 The solution set is

Solution

x-16x +48=0

substitute x =u =>x=u²

u²-16u+48=0

u²-12u-4u+48=0

u(u-12)-4(u-12)=0

(u-12)(u-4)=0

u-4=0, u-12=0

u=4,u=12

x =4,x =12

x=4²,x=12²

x=16,x=144

solution is x=16,144