Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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