Solve for B
\left\{\begin{matrix}B=A^{2}\text{, }&A\neq 0\\B\neq 0\text{, }&A=0\end{matrix}\right.
Solve for A
\left\{\begin{matrix}A=0\text{, }&B\neq 0\\A=\sqrt{B}\text{; }A=-\sqrt{B}\text{, }&B>0\end{matrix}\right.
Share
Copied to clipboard
AB=AAA
Variable B cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by B.
AB=A^{2}A
Multiply A and A to get A^{2}.
AB=A^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\frac{AB}{A}=\frac{A^{3}}{A}
Divide both sides by A.
B=\frac{A^{3}}{A}
Dividing by A undoes the multiplication by A.
B=A^{2}
Divide A^{3} by A.
B=A^{2}\text{, }B\neq 0
Variable B cannot be equal to 0.
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}