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I need the answer to question I have enclosed below

I need the answer to question I have enclosed below-example-1

1 Answer

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ANSWER


x=\pm8i

Step-by-step explanation

We want to solve the equation:


2x^2+128=0

This can be solved using the square root method.

To do this, first, separate the terms in the equation:


2x^2=-128

Next, divide both sides by 2:


\begin{gathered} x^2=-(128)/(2) \\ x^2=-64 \end{gathered}

Then, find the square root of both sides of the equation:


\begin{gathered} \sqrt[]{x^2}=\sqrt[]{-64} \\ x=\sqrt[]{64\cdot-1}=\sqrt[]{64}\cdot\sqrt[]{-1} \\ x=\pm8\cdot i \\ x=\pm8i \end{gathered}

That is the solution to the equation.

User Stalepretzel
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