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Question
3x^{6}=24
Solve the equation
x_{1}=-\sqrt{2},x_{2}=\sqrt{2}
Alternative Form
x_{1}\approx -1.414214,x_{2}\approx 1.414214
Evaluate
3x^{6}=24
Divide both sides
\frac{3x^{6}}{3}=\frac{24}{3}
Divide the numbers
x^{6}=\frac{24}{3}
Divide the numbers
More Steps
Evaluate
\frac{24}{3}
Reduce the numbers
\frac{8}{1}
Calculate
8
x^{6}=8
Take the root of both sides of the equation and remember to use both positive and negative roots
x=\pm \sqrt[6]{8}
Simplify the expression
More Steps
Evaluate
\sqrt[6]{8}
\text{Write the number in exponential form with the base of }2
\sqrt[6]{2^{3}}
\text{Reduce the index of the radical and exponent with }3
\sqrt{2}
x=\pm \sqrt{2}
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=\sqrt{2}\\&x=-\sqrt{2}\end{align}
Solution
x_{1}=-\sqrt{2},x_{2}=\sqrt{2}
Alternative Form
x_{1}\approx -1.414214,x_{2}\approx 1.414214
Show Solutions
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