Question

solve ( u^2 = 16 ), where ( u ) is a real number. simplify your answer as much as possible. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\.

Explanation:

Step1: Take square root of both sides

To solve the equation \( u^2 = 16 \), we take the square root of both sides. Remember that for any real number \( x \), if \( x^2 = a \) (where \( a\geq0 \)), then \( x=\pm\sqrt{a} \). So applying this to our equation, we get \( u = \pm\sqrt{16} \).

Step2: Simplify the square root

We know that \( \sqrt{16}=4 \), so substituting this back in, we have \( u = 4 \) or \( u=- 4 \).

Answer:

\( 4, -4 \)