y=-5/8(x-2)(x-10)

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Solution for y=-5/8(x-2)(x-10) equation: 


x in (-oo:+oo)

y = (-5/8)*(x-2)*(x-10) // - (-5/8)*(x-2)*(x-10)

y-((-5/8)*(x-2)*(x-10)) = 0

(5/8)*(x-2)*(x-10)+y = 0

5/8*(x-2)*(x-10)+y = 0

5/8*(x-2)*(x-10)+y = 0

5/8*x^2-15/2*x+y+25/2 = 0

5/8*x^2-15/2*x+y+25/2 = 0

5/8*x^2-15/2*x+y+25/2 = 0

DELTA = (-15/2)^2-(5/8*4*(y+25/2))

DELTA = 225/4-5/2*(y+25/2)

225/4-5/2*(y+25/2) = 0

(-5/2*4*(y+25/2))/4+225/4 = 0

225-5/2*4*(y+25/2) = 0

100-10*y = 0

(100-10*y)/4 = 0

(100-10*y)/4 = 0 // * 4

100-10*y = 0

100-10*y = 0 // - 100

-10*y = -100 // : -10

y = -100/(-10)

y = 10

DELTA = 0  <=>  t_3 = 10

x = 15/2/(5/8*2) i y = 10

x = 6 i y = 10

( x = ((225/4-5/2*(y+25/2))^(1/2)+15/2)/(5/8*2) or x = (15/2-(225/4-5/2*(y+25/2))^(1/2))/(5/8*2) ) i y > 10

( x = 4/5*((225/4-5/2*(y+25/2))^(1/2)+15/2) or x = 4/5*(15/2-(225/4-5/2*(y+25/2))^(1/2)) ) i y > 10

y-10 > 0

y-10 > 0 // + 10

y > 10

x in { 6, 4/5*((225/4-5/2*(y+25/2))^(1/2)+15/2), 4/5*(15/2-(225/4-5/2*(y+25/2))^(1/2)) }

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