Y=-1/5(x-5)(x-20)

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Solution for Y=-1/5(x-5)(x-20) equation: 


x in (-oo:+oo)

Y = (-1/5)*(x-5)*(x-20) // - (-1/5)*(x-5)*(x-20)

Y-((-1/5)*(x-5)*(x-20)) = 0

(1/5)*(x-20)*(x-5)+Y = 0

1/5*(x-20)*(x-5)+Y = 0

1/5*(x-20)*(x-5)+Y = 0

Y+1/5*x^2-5*x+20 = 0

Y+1/5*x^2-5*x+20 = 0

Y+1/5*x^2-5*x+20 = 0

DELTA = (-5)^2-(1/5*4*(Y+20))

DELTA = 25-4/5*(Y+20)

25-4/5*(Y+20) = 0

25-4/5*(Y+20) = 0

9-4/5*Y = 0

9-4/5*Y = 0

9-4/5*Y = 0 // - 9

-4/5*Y = -9 // : -4/5

Y = -9/(-4/5)

Y = 45/4

DELTA = 0  <=>  t_3 = 45/4

x = 5/(1/5*2) i Y = 45/4

x = 25/2 i Y = 45/4

( x = ((25-4/5*(Y+20))^(1/2)+5)/(1/5*2) or x = (5-(25-4/5*(Y+20))^(1/2))/(1/5*2) ) i Y > 45/4

( x = 5/2*((25-4/5*(Y+20))^(1/2)+5) or x = 5/2*(5-(25-4/5*(Y+20))^(1/2)) ) i Y > 45/4

Y-45/4 > 0

Y-45/4 > 0 // + 45/4

Y > 45/4

x in { 25/2, 5/2*((25-4/5*(Y+20))^(1/2)+5), 5/2*(5-(25-4/5*(Y+20))^(1/2)) }

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