1/16(50)^2-(y-28)^2=0

Solution for 1/16(50)^2-(y-28)^2=0 equation:

y in (-oo:+oo)

(1/16)*50^2-(y-28)^2 = 0

625/4-1*(y-28)^2 = 0

(-1*4*(y-28)^2)/4+625/4 = 0

625-1*4*(y-28)^2 = 0

224*y-4*y^2-2511 = 0

224*y-4*y^2-2511 = 0

224*y-4*y^2-2511 = 0

DELTA = 224^2-(-2511*(-4)*4)

DELTA = 10000

DELTA > 0

y = (10000^(1/2)-224)/(-4*2) or y = (-10000^(1/2)-224)/(-4*2)

y = 31/2 or y = 81/2

(y-31/2)*(y-81/2) = 0

((y-31/2)*(y-81/2))/4 = 0

((y-31/2)*(y-81/2))/4 = 0 // * 4

(y-31/2)*(y-81/2) = 0

( y-31/2 )

y-31/2 = 0 // + 31/2

y = 31/2

( y-81/2 )

y-81/2 = 0 // + 81/2

y = 81/2

y in { 31/2, 81/2 }