Questions: Solve for (u), where (u) is a real number. [ sqrt[4]u=-2 ] If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". [ u= ]

Solve for (u), where (u) is a real number.
[
sqrt[4]u=-2
]

If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
[
u=
]

Transcript text: Solve for $u$, where $u$ is a real number. \[ \sqrt[4]{u}=-2 \] If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". \[ u= \]

Solution

Solution Steps

Step 1: Analyze the Equation

We start with the equation $ \sqrt[4]{u} = -2 $. The fourth root of a real number $ u $ is defined as the number that, when raised to the power of 4, gives $ u $. However, since the fourth root function only produces non-negative results for real numbers, it cannot equal a negative number like $-2$.

Step 2: Determine the Nature of the Solution

Given that the fourth root of any real number cannot be negative, we conclude that there is no real number $ u $ that satisfies the equation $ \sqrt[4]{u} = -2 $.

Final Answer

Thus, the final answer is $\boxed{\text{No solution}}$.

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