Solve for x
x=y\left(y-2\right)
y-1\geq 0
Solve for x (complex solution)
x=y\left(y-2\right)
y=1\text{ or }arg(1-y)\geq \pi
Solve for y (complex solution)
y=\sqrt{x+1}+1
Solve for y
y=\sqrt{x+1}+1
x\geq -1
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1+\sqrt{x+1}=y
Swap sides so that all variable terms are on the left hand side.
\sqrt{x+1}=y-1
Subtract 1 from both sides.
x+1=\left(y-1\right)^{2}
Square both sides of the equation.
x+1-1=\left(y-1\right)^{2}-1
Subtract 1 from both sides of the equation.
x=\left(y-1\right)^{2}-1
Subtracting 1 from itself leaves 0.
x=y\left(y-2\right)
Subtract 1 from \left(y-1\right)^{2}.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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