Solve for f (complex solution)
\left\{\begin{matrix}f=0\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&x=-i\text{ or }x=i\end{matrix}\right.
Solve for f
f=0
x\neq 0
Solve for x (complex solution)
\left\{\begin{matrix}\\x=-i\text{; }x=i\text{, }&\text{unconditionally}\\x\neq 0\text{, }&f=0\end{matrix}\right.
Solve for x
x\neq 0
f=0
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fxx+f\times 1=0
Multiply both sides of the equation by x.
fx^{2}+f\times 1=0
Multiply x and x to get x^{2}.
fx^{2}+f=0
Reorder the terms.
\left(x^{2}+1\right)f=0
Combine all terms containing f.
f=0
Divide 0 by x^{2}+1.
fxx+f\times 1=0
Multiply both sides of the equation by x.
fx^{2}+f\times 1=0
Multiply x and x to get x^{2}.
fx^{2}+f=0
Reorder the terms.
\left(x^{2}+1\right)f=0
Combine all terms containing f.
f=0
Divide 0 by x^{2}+1.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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