Solve for y (complex solution)
y=\frac{-\sqrt{x}+1}{2}
Solve for x
x=\left(1-2y\right)^{2}
1-2y\geq 0
Solve for y
y=\frac{-\sqrt{x}+1}{2}
x\geq 0
Solve for x (complex solution)
x=\left(1-2y\right)^{2}
y=\frac{1}{2}\text{ or }arg(1-2y)<\pi
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2y=1-\sqrt{x}
Subtract \sqrt{x} from both sides.
2y=-\sqrt{x}+1
The equation is in standard form.
\frac{2y}{2}=\frac{-\sqrt{x}+1}{2}
Divide both sides by 2.
y=\frac{-\sqrt{x}+1}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{x}+2y-2y=1-2y
Subtract 2y from both sides of the equation.
\sqrt{x}=1-2y
Subtracting 2y from itself leaves 0.
x=\left(1-2y\right)^{2}
Square both sides of the equation.
2y=1-\sqrt{x}
Subtract \sqrt{x} from both sides.
2y=-\sqrt{x}+1
The equation is in standard form.
\frac{2y}{2}=\frac{-\sqrt{x}+1}{2}
Divide both sides by 2.
y=\frac{-\sqrt{x}+1}{2}
Dividing by 2 undoes the multiplication by 2.
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Limits
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