Solve for y (complex solution)
\left\{\begin{matrix}\\y=4x^{2}+2x+1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=\frac{1}{2}\end{matrix}\right.
Solve for y
\left\{\begin{matrix}\\y=4x^{2}+2x+1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{1}{2}\end{matrix}\right.
Solve for x (complex solution)
x=\frac{-\sqrt{4y-3}-1}{4}
x=\frac{\sqrt{4y-3}-1}{4}
x=\frac{1}{2}=0.5
Solve for x
\left\{\begin{matrix}\\x=\frac{1}{2}=0.5\text{, }&\text{unconditionally}\\x=\frac{-\sqrt{4y-3}-1}{4}\text{; }x=\frac{\sqrt{4y-3}-1}{4}\text{, }&y\geq \frac{3}{4}\end{matrix}\right.
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\frac{\left(2x-1\right)y}{2x-1}=\frac{8x^{3}-1}{2x-1}
Divide both sides by 2x-1.
y=\frac{8x^{3}-1}{2x-1}
Dividing by 2x-1 undoes the multiplication by 2x-1.
y=4x^{2}+2x+1
Divide 8x^{3}-1 by 2x-1.
\frac{\left(2x-1\right)y}{2x-1}=\frac{8x^{3}-1}{2x-1}
Divide both sides by 2x-1.
y=\frac{8x^{3}-1}{2x-1}
Dividing by 2x-1 undoes the multiplication by 2x-1.
y=4x^{2}+2x+1
Divide 8x^{3}-1 by 2x-1.
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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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