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Question
p^{4}=12p
Solve the equation
p_{1}=0,p_{2}=\sqrt[3]{12}
Alternative Form
p_{1}=0,p_{2}\approx 2.289428
Evaluate
p^{4}=12p
Move the expression to the left side
p^{4}-12p=0
Factor the expression
p\left(p^{3}-12\right)=0
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&p=0\\&p^{3}-12=0\end{align}
Solve the equation
More Steps
Evaluate
p^{3}-12=0
Move the constant to the right-hand side and change its sign
p^{3}=0+12
Removing 0 doesn't change the value,so remove it from the expression
p^{3}=12
\text{Take the }3\text{-th root on both sides of the equation}
\sqrt[3]{p^{3}}=\sqrt[3]{12}
Calculate
p=\sqrt[3]{12}
\begin{align}&p=0\\&p=\sqrt[3]{12}\end{align}
Solution
p_{1}=0,p_{2}=\sqrt[3]{12}
Alternative Form
p_{1}=0,p_{2}\approx 2.289428
Show Solutions
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