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:
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
