Solve for x
x=\left(1-y\right)^{2}-3
-\left(1-y\right)\geq 0
Solve for x (complex solution)
x=\left(1-y\right)^{2}-3
y=1\text{ or }arg(1-y)\geq \pi
Solve for y
y=\sqrt{x+3}+1
x\geq -3
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\sqrt{x+3}+1=y
Swap sides so that all variable terms are on the left hand side.
\sqrt{x+3}=y-1
Subtract 1 from both sides.
x+3=\left(y-1\right)^{2}
Square both sides of the equation.
x+3-3=\left(y-1\right)^{2}-3
Subtract 3 from both sides of the equation.
x=\left(y-1\right)^{2}-3
Subtracting 3 from itself leaves 0.
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