Solve for k
k=8y-y^{2}+10x-x^{2}
Solve for x (complex solution)
x=\sqrt{25-k+8y-y^{2}}+5
x=-\sqrt{25-k+8y-y^{2}}+5
Solve for x
x=\sqrt{25-k+8y-y^{2}}+5
x=-\sqrt{25-k+8y-y^{2}}+5\text{, }k\leq 25+8y-y^{2}
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y^{2}-10x-8y+k=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
-10x-8y+k=-x^{2}-y^{2}
Subtract y^{2} from both sides.
-8y+k=-x^{2}-y^{2}+10x
Add 10x to both sides.
k=-x^{2}-y^{2}+10x+8y
Add 8y to both sides.
Examples
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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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