I = \sqrt { x } d x
Solve for d (complex solution)
\left\{\begin{matrix}d=x^{-\frac{3}{2}}I\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&I=0\text{ and }x=0\end{matrix}\right.
Solve for d
\left\{\begin{matrix}d=\frac{I}{x^{\frac{3}{2}}}\text{, }&x>0\\d\in \mathrm{R}\text{, }&x=0\text{ and }I=0\end{matrix}\right.
Solve for I (complex solution)
I=dx^{\frac{3}{2}}
Solve for I
I=dx^{\frac{3}{2}}
x\geq 0
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Quiz
I = \sqrt { x } d x
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\sqrt{x}dx=I
Swap sides so that all variable terms are on the left hand side.
\sqrt{x}xd=I
The equation is in standard form.
\frac{\sqrt{x}xd}{\sqrt{x}x}=\frac{I}{\sqrt{x}x}
Divide both sides by \sqrt{x}x.
d=\frac{I}{\sqrt{x}x}
Dividing by \sqrt{x}x undoes the multiplication by \sqrt{x}x.
d=x^{-\frac{3}{2}}I
Divide I by \sqrt{x}x.
\sqrt{x}dx=I
Swap sides so that all variable terms are on the left hand side.
\sqrt{x}xd=I
The equation is in standard form.
\frac{\sqrt{x}xd}{\sqrt{x}x}=\frac{I}{\sqrt{x}x}
Divide both sides by \sqrt{x}x.
d=\frac{I}{\sqrt{x}x}
Dividing by \sqrt{x}x undoes the multiplication by \sqrt{x}x.
d=\frac{I}{x^{\frac{3}{2}}}
Divide I by \sqrt{x}x.
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