Solve the equation √x+√ (x+3) = 3.

The solution for this question is 1.

Step-by-step explanation:

Given that

√x+√ (x+3) = 3.

√x=3-√ (x+3) (a) simplify the equation

square equation (a)

(√x) ^2 = (3-√ (x+3)) ^2

we know that (a-b) ^2 = (a^2+b^2-2. a. b) and (√x) ^2=√x*√x=x. So solve equation a

(√x) ^2 = (3-√ (x+3)) ^2

x = (3) ^2 + (√ (x+3)) ^2-2*√x+3*3

x=9 + (x+3) - 6√x+3

x=9+x+3-6√x+3 simplify equation

x-x=9+3-6√x+3

0=12-6√x+3

6√x+3=12

√x+3=12/6

√x+3=2 (b)

square equation b

(√x+3) ^2=2^2

x+3=4

x=4-3

x=1