Answer:
The solution for this question is 144.
Explanation:
Given that
3+√x=√(x+81) (i)
square equation (i)
(3+√x)^2=(√(x+81)^2
we know that (a+b)^2=(a^2+b^2+2.a.b).and√x*√x=(√x)^2=x So,
(3)^2+(√x)^2+2*3*√x=x+81
9+x+6√x=x+81
6√x=x+81-x-9
6√x=x-x+81-9 Simplify the equation.
6√x=72
√x=72/6
√x=12 (a)
square equation (a) for x value.
(√x)^2=(12)^2
x=144