y=(56x-8x^2)/49

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Solution for y=(56x-8x^2)/49 equation:


x in (-oo:+oo)

y = (56*x-(8*x^2))/49 // - (56*x-(8*x^2))/49

y-((56*x-(8*x^2))/49) = 0

y-((56*x-8*x^2)/49) = 0

(-1*(56*x-8*x^2))/49+y = 0

(-1*(56*x-8*x^2))/49+(49*y)/49 = 0

49*y-1*(56*x-8*x^2) = 0

8*x^2-56*x+49*y = 0

(8*x^2-56*x+49*y)/49 = 0

(8*x^2-56*x+49*y)/49 = 0 // * 49

8*x^2-56*x+49*y = 0

8*x^2-56*x+49*y = 0

DELTA = (-56)^2-(4*8*49*y)

DELTA = 3136-1568*y

3136-1568*y = 0

3136-1568*y = 0 // - 3136

-1568*y = -3136 // : -1568

y = -3136/(-1568)

y = 2

DELTA = 0 <=> t_3 = 2

x = 56/(2*8) i y = 2

x = 7/2 i y = 2

( x = ((3136-1568*y)^(1/2)+56)/(2*8) or x = (56-(3136-1568*y)^(1/2))/(2*8) ) i y > 2

( x = ((3136-1568*y)^(1/2)+56)/16 or x = (56-(3136-1568*y)^(1/2))/16 ) i y > 2

y-2 > 0

y-2 > 0 // + 2

y > 2

x in { 7/2, ((3136-1568*y)^(1/2)+56)/16, (56-(3136-1568*y)^(1/2))/16 }

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