Solve the following equation 3+√x=√ (x+81).

The solution for this question is 144.

Step-by-step 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