Question

If 4g^2 -1= 16h^2 -1, what is the value of g in terms of h?
Plz explain

Answer 1

g = ±2h

Explanation:

4g^2 -1= 16h^2 -1

Add 1 to each side

4g^2 -1+1= 16h^2 -1+1

4g^2 = 16h^2

Divide each side by 4

4/4g^2 = 16/4h^2

g^2 = 4 h^2

Take the square root of each side

sqrt(g^2) = ±sqrt(4h^2)

g = ±sqrt(4h^2)

g = ±2h