y=1/4(x-7)^2+4

Solution for y=1/4(x-7)^2+4 equation:

x in (-oo:+oo)

y = (1/4)*(x-7)^2+4 // - (1/4)*(x-7)^2+4

y-((1/4)*(x-7)^2)-4 = 0

(-1/4)*(x-7)^2+y-4 = 0

y-1/4*(x-7)^2-4 = 0

y-1/4*(x-7)^2-4 = 0

7/2*x-1/4*x^2+y-49/4-4 = 0

7/2*x-1/4*x^2+y-65/4 = 0

7/2*x-1/4*x^2+y-65/4 = 0

7/2*x-1/4*x^2+y-65/4 = 0

DELTA = (7/2)^2-(-1/4*4*(y-65/4))

DELTA = y-4

y-4 = 0

y-4 = 0 // + 4

y = 4

DELTA = 0  <=>  t_3 = 4

x = -7/2/(-1/4*2) i y = 4

x = 7 i y = 4

( x = ((y-4)^(1/2)-7/2)/(-1/4*2) or x = (-(y-4)^(1/2)-7/2)/(-1/4*2) ) i y > 4

( x = -2*((y-4)^(1/2)-7/2) or x = 2*((y-4)^(1/2)+7/2) ) i y > 4

y-4 > 0

y-4 > 0 // + 4

y > 4

x in { 7, -2*((y-4)^(1/2)-7/2), 2*((y-4)^(1/2)+7/2) }