Solve for b (complex solution)
\left\{\begin{matrix}b=\frac{\left(x-4\right)\left(x+2\right)}{y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&\left(x=4\text{ or }x=-2\right)\text{ and }y=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=\frac{\left(x-4\right)\left(x+2\right)}{y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&\left(x=4\text{ or }x=-2\right)\text{ and }y=0\end{matrix}\right.
Solve for x (complex solution)
x=-\sqrt{by+9}+1
x=\sqrt{by+9}+1
Solve for x
x=-\sqrt{by+9}+1
x=\sqrt{by+9}+1\text{, }\left(y\leq 0\text{ or }b\geq -\frac{9}{y}\right)\text{ and }\left(y\geq 0\text{ or }b\leq -\frac{9}{y}\right)
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by=x^{2}-2x-8
Use the distributive property to multiply x-4 by x+2 and combine like terms.
yb=x^{2}-2x-8
The equation is in standard form.
\frac{yb}{y}=\frac{\left(x-4\right)\left(x+2\right)}{y}
Divide both sides by y.
b=\frac{\left(x-4\right)\left(x+2\right)}{y}
Dividing by y undoes the multiplication by y.
by=x^{2}-2x-8
Use the distributive property to multiply x-4 by x+2 and combine like terms.
yb=x^{2}-2x-8
The equation is in standard form.
\frac{yb}{y}=\frac{\left(x-4\right)\left(x+2\right)}{y}
Divide both sides by y.
b=\frac{\left(x-4\right)\left(x+2\right)}{y}
Dividing by y undoes the multiplication by y.
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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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