Solve for s whare x is ara Solve for x where x is a real num

Solve for s, whare x is ara Solve for x, where x is a real number (If there is more than one solution, separate them with comma,) (If there is more than one solution, separate them with commas.)

Solution

sqrt( -4x + 24) = x-3

Take square of both sides:

(-4x +24) = (x -3)^2

x^2 +9 -6x = -4x +24

x^2 -6x +4x +9 -24 =0

x^2 -2x - 15 =0

Now solve by factorising: x^2 -5x +3x -15 =0

x( x-5) +3( x-5) =0

(x +3) ( x-5) =0

x= -3 , 5