\lim \frac { x ^ { 2 } - 4 } { 4 } = 1
Solve for l
l=\frac{2}{Re(x)Im(x)}
Re(x)Im(x)\neq 0
Share
Copied to clipboard
lIm(\frac{1}{4}x^{2}-1)=1
Divide each term of x^{2}-4 by 4 to get \frac{1}{4}x^{2}-1.
\frac{Im(x^{2})}{4}l=1
The equation is in standard form.
\frac{4\times \frac{Im(x^{2})}{4}l}{Im(x^{2})}=\frac{4}{Im(x^{2})}
Divide both sides by \frac{1}{4}Im(x^{2}).
l=\frac{4}{Im(x^{2})}
Dividing by \frac{1}{4}Im(x^{2}) undoes the multiplication by \frac{1}{4}Im(x^{2}).
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}