\sum p = q ( \frac { 3 ^ { 5 } - 1 } { 3 - 1 } )
Solve for p
\left\{\begin{matrix}p=\frac{121q}{Σ}\text{, }&Σ\neq 0\\p\in \mathrm{R}\text{, }&q=0\text{ and }Σ=0\end{matrix}\right.
Solve for q
q=\frac{pΣ}{121}
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Σp=q\times \frac{243-1}{3-1}
Calculate 3 to the power of 5 and get 243.
Σp=q\times \frac{242}{3-1}
Subtract 1 from 243 to get 242.
Σp=q\times \frac{242}{2}
Subtract 1 from 3 to get 2.
Σp=q\times 121
Divide 242 by 2 to get 121.
Σp=121q
The equation is in standard form.
\frac{Σp}{Σ}=\frac{121q}{Σ}
Divide both sides by Σ.
p=\frac{121q}{Σ}
Dividing by Σ undoes the multiplication by Σ.
Σp=q\times \frac{243-1}{3-1}
Calculate 3 to the power of 5 and get 243.
Σp=q\times \frac{242}{3-1}
Subtract 1 from 243 to get 242.
Σp=q\times \frac{242}{2}
Subtract 1 from 3 to get 2.
Σp=q\times 121
Divide 242 by 2 to get 121.
q\times 121=Σp
Swap sides so that all variable terms are on the left hand side.
121q=pΣ
The equation is in standard form.
\frac{121q}{121}=\frac{pΣ}{121}
Divide both sides by 121.
q=\frac{pΣ}{121}
Dividing by 121 undoes the multiplication by 121.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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