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5x2+90=0 solve equation

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The given equation is


5x^2+90=0

First, subtract 90 from each side.


\begin{gathered} 5x^2+90-90=-90 \\ 5x^2=-90 \end{gathered}

Second, divide both sides by 5.


\begin{gathered} (5x^2)/(5)=-(90)/(5) \\ x^2=-18 \end{gathered}

Fourth, apply a square root on both sides.


\begin{gathered} \sqrt[]{x^2}=\sqrt[]{-18} \\ x=\sqrt[]{-18} \end{gathered}

The equation has no real solutions because the square root of a negative number does not exist.

User Dynamphorous
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