Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{y-2b}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=2b\text{ and }x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{y-2b}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=2b\text{ and }x=0\end{matrix}\right.
Solve for b
b=\frac{y-ax^{2}}{2}
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ax^{2}+2b=y
Swap sides so that all variable terms are on the left hand side.
ax^{2}=y-2b
Subtract 2b from both sides.
x^{2}a=y-2b
The equation is in standard form.
\frac{x^{2}a}{x^{2}}=\frac{y-2b}{x^{2}}
Divide both sides by x^{2}.
a=\frac{y-2b}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
ax^{2}+2b=y
Swap sides so that all variable terms are on the left hand side.
ax^{2}=y-2b
Subtract 2b from both sides.
x^{2}a=y-2b
The equation is in standard form.
\frac{x^{2}a}{x^{2}}=\frac{y-2b}{x^{2}}
Divide both sides by x^{2}.
a=\frac{y-2b}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
ax^{2}+2b=y
Swap sides so that all variable terms are on the left hand side.
2b=y-ax^{2}
Subtract ax^{2} from both sides.
\frac{2b}{2}=\frac{y-ax^{2}}{2}
Divide both sides by 2.
b=\frac{y-ax^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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