Question

solve for u, where u is a real number.
\sqrt4{u}=-3
if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\.

Explanation:

Step1: Raise both sides to the fourth - power

$(\sqrt[4]{u})^4=(-3)^4$

Step2: Simplify the left - hand side and right - hand side

On the left - hand side, $(\sqrt[4]{u})^4 = u$. On the right - hand side, $(-3)^4=81$. But the principal fourth - root function $\sqrt[4]{x}$ has a non - negative range for real numbers. The equation $\sqrt[4]{u}=-3$ has no real solutions because the fourth - root of a real number is non - negative when the result is real.

Answer:

No solution