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Solve. \( \sqrt{3 x}=-15 \)

Ask by Wang Stephens. in the United States
Mar 14,2025

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There is no real solution for \( x \) in the equation \( \sqrt{3x}=-15 \).

Solución

Solve the equation \( \sqrt{3x}=-15 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\sqrt{3x}=-15\) - step1: The statement is false for any value of \(x:\) \(x \notin \mathbb{R}\) The equation \( \sqrt{3x}=-15 \) does not have a real solution. Therefore, there is no real value of \( x \) that satisfies this equation.

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Bonus Knowledge

To solve the equation \( \sqrt{3x} = -15 \), we first note that the square root function cannot produce a negative value. Since the square root of any real number is always non-negative, there are no real numbers \( x \) that would satisfy this equation. Therefore, the solution is that there are no real solutions to this equation. In other words, if you're ever presented with a square root equal to a negative number, you can confidently declare that it's a no-go. So, keep that in mind anytime you encounter square roots; they prefer to hang out in the non-negative club!

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