Answer:
k=10 or k=−10
Explanation:
Let's solve your equation step-by-step.
(
4
5
k)(k)−5=75
Step 1: Simplify both sides of the equation.
4
5
k2−5=75
Step 2: Add 5 to both sides.
4
5
k2−5+5=75+5
4
5
k2=80
Step 3: Divide both sides by 4/5.
4
5
k2
4
5
=
80
4
5
k2=100
Step 4: Take square root.
k=±√100
k=10 or k=−10