Solve for x
x=-\frac{y^{2}}{5}-\frac{2y}{5}+2
Solve for y (complex solution)
y=\sqrt{11-5x}-1
y=-\sqrt{11-5x}-1
Solve for y
y=\sqrt{11-5x}-1
y=-\sqrt{11-5x}-1\text{, }x\leq \frac{11}{5}
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2y+5x=10-y^{2}
Subtract y^{2} from both sides.
5x=10-y^{2}-2y
Subtract 2y from both sides.
5x=10-2y-y^{2}
The equation is in standard form.
\frac{5x}{5}=\frac{10-2y-y^{2}}{5}
Divide both sides by 5.
x=\frac{10-2y-y^{2}}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{y^{2}}{5}-\frac{2y}{5}+2
Divide 10-y^{2}-2y by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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