What is the solution of square root of x plus twelve equals x

x=4

Step-by-step explanation:

√x+12=x

x+12=x2 (Square both sides)

x+12=x2

x+12-x2=x2-x2 (Subtract x^2 from both sides)

-x2+x+12=0

(-x-3) (x-4) = 0 (Factor left side of equation)

-x-3=0 or x-4=0 (Set factors equal to 0)

x=-3 or x=4

x=-3 (Doesn't work in original equation)

x=√x+12

x = 16

Step-by-step explanation:

Step 1: Add - 12 to both sides.

x+12+-12=x+-12

x=x-12

Step 2: Solve Square Root.

x=x-12

x = (x-12) 2 (Square both sides)

x=x2-24x+144

x - (x2-24x+144) = x2-24x+144 - (x2-24x+144) (Subtract x^2-24x+144 from both sides)

-x2+25x-144=0

(-x+9) (x-16) = 0

-x+9=0 or x-16=0 (Set factors equal to 0)

x=9 or x=16

Answer:

x=16