Question

solve for w. w² = 100 w = or w =

Explanation:

Step1: Take square root of both sides

To solve \( w^2 = 100 \), we take the square root of both sides. Remember that if \( x^2 = a \) (where \( a\geq0 \)), then \( x=\pm\sqrt{a} \). So for \( w^2 = 100 \), we have \( w=\pm\sqrt{100} \).

Step2: Calculate the square root

We know that \( \sqrt{100} = 10 \) because \( 10\times10 = 100 \) and \( (- 10)\times(-10)=100 \). So \( w = 10 \) or \( w=- 10 \).

Answer:

\( w = 10 \) or \( w = -10 \)