Collins Watkins
09/01/2023 · Elementary School

Solve \( v^{2}=-25 \), where \( v \) is a real number. Simplify your answer as much as possible

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Solve the equation \( v^{2}=-25 \). Solve the equation(The complex numbers system) by following steps: - step0: Solve using square roots: \(v^{2}=-25\) - step1: Simplify the expression: \(v=\pm \sqrt{-25}\) - step2: Simplify the expression: \(v=\pm 5i\) - step3: Separate into possible cases: \(\begin{align}&v=5i\\&v=-5i\end{align}\) - step4: Rewrite: \(v_{1}=-5i,v_{2}=5i\) - step5: Remove the complex number(s): \(\textrm{No real solution}\) The equation \( v^{2}=-25 \) has no real solutions.

Quick Answer

The equation \( v^{2}=-25 \) has no real solutions.
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