y=25-(x-8)^2/4

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Solution for y=25-(x-8)^2/4 equation:


x in (-oo:+oo)

y = 25-(((x-8)^2)/4) // - 25-(((x-8)^2)/4)

((x-8)^2)/4+y-25 = 0

((x-8)^2)/4+(4*y)/4+(-25*4)/4 = 0

(x-8)^2+4*y-25*4 = 0

x^2-16*x+4*y-100+64 = 0

x^2-16*x+4*y-36 = 0

(x^2-16*x+4*y-36)/4 = 0

(x^2-16*x+4*y-36)/4 = 0 // * 4

x^2-16*x+4*y-36 = 0

x^2-16*x+4*y-36 = 0

DELTA = (-16)^2-(1*4*(4*y-36))

DELTA = 256-4*(4*y-36)

256-4*(4*y-36) = 0

256-4*(4*y-36) = 0

400-16*y = 0

400-16*y = 0

400-16*y = 0 // - 400

-16*y = -400 // : -16

y = -400/(-16)

y = 25

DELTA = 0 <=> t_3 = 25

x = 16/(1*2) i y = 25

x = 8 i y = 25

( x = ((256-4*(4*y-36))^(1/2)+16)/(1*2) or x = (16-(256-4*(4*y-36))^(1/2))/(1*2) ) i y > 25

( x = ((256-4*(4*y-36))^(1/2)+16)/2 or x = (16-(256-4*(4*y-36))^(1/2))/2 ) i y > 25

y-25 > 0

y-25 > 0 // + 25

y > 25

x in { 8, ((256-4*(4*y-36))^(1/2)+16)/2, (16-(256-4*(4*y-36))^(1/2))/2 }

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