Answer:
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
