solve the indicated variable. y=kx(4-x)for x

Question

1. solve the indicated variable. y=kx(4-x)for x

Answer 1

y = kx(4-x)

 

kx² - (4k)x + y = 0

 

This equation is of the form Ax² + Bx + C = 0, where A = k, B = -4k, and C = y.

 

By the quadratic formula, x = (4k ± √[(-4k)² - 4(k)(y)])/(2k)

 

                                       = (4k ± √(16k²-4ky))/(2k)

 

                                       = (4k ± 2√(4k²-ky))/(2k)

 

                                       = (2k ± √(4k² - ky))/k