Question

Solve the proportion
2/z-5=z/0.5zpower2+7
A.1/5
B.6
C.-7/5
D.-14/5

Answer 1

2 / (z-5) = z / (0.5z^2 + 7)
cross multiply
z(z - 5) = 2(0.5z^2 + 7) =
z^2 - 5z = z^2 + 14 =
z^2 - z^2 - 5z = 14
-5z = 14
z = -14/5