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Question
6x^{2}=486
Solve the quadratic equation
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Solve using square roots
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Solve by factoring
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Solve using the quadratic formula
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Solve using the PQ formula
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x_{1}=-9,x_{2}=9
Evaluate
6x^{2}=486
Divide both sides
\frac{6x^{2}}{6}=\frac{486}{6}
Divide the numbers
x^{2}=81
Take the root of both sides of the equation and remember to use both positive and negative roots
x=\pm \sqrt{81}
Simplify the expression
x=\pm 9
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=9\\&x=-9\end{align}
Solution
x_{1}=-9,x_{2}=9
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