## Intermediate Algebra: Connecting Concepts through Application

$w=\pm 5i$
Step 1: $w^{2}+25=0$ Step 2: $w^{2}=-25$ Step 3: Using the square root property, $w=\pm\sqrt {-25}$. Step 4: $w=\pm\sqrt {-1\times25}$ Step 5: $w=\pm\sqrt {-1}\times\sqrt {25}$ Step 6: $w=\pm i\times5$ Step 7: $w=\pm 5i$