Solve for b
b=\frac{x-a^{2}}{2}
Solve for a (complex solution)
a=-\sqrt{x-2b}
a=\sqrt{x-2b}
Solve for a
a=\sqrt{x-2b}
a=-\sqrt{x-2b}\text{, }x\geq 2b
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a^{2}+2b=x
Swap sides so that all variable terms are on the left hand side.
2b=x-a^{2}
Subtract a^{2} from both sides.
\frac{2b}{2}=\frac{x-a^{2}}{2}
Divide both sides by 2.
b=\frac{x-a^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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