y=x*(900-(3*x))/4

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Solution for y=x*(900-(3*x))/4 equation: 


x in (-oo:+oo)

y = (x*(900-(3*x)))/4 // - (x*(900-(3*x)))/4

y-((x*(900-(3*x)))/4) = 0

y-((x*(900-3*x))/4) = 0

(-1*x*(900-3*x))/4+y = 0

(-1*x*(900-3*x))/4+(4*y)/4 = 0

4*y-1*x*(900-3*x) = 0

3*x^2-900*x+4*y = 0

(3*x^2-900*x+4*y)/4 = 0

(3*x^2-900*x+4*y)/4 = 0 // * 4

3*x^2-900*x+4*y = 0

3*x^2-900*x+4*y = 0

DELTA = (-900)^2-(3*4*4*y)

DELTA = 810000-48*y

810000-48*y = 0

810000-48*y = 0 // - 810000

-48*y = -810000 // : -48

y = -810000/(-48)

y = 16875

DELTA = 0  <=>  t_3 = 16875

x = 900/(2*3) i y = 16875

x = 150 i y = 16875

( x = ((810000-48*y)^(1/2)+900)/(2*3) or x = (900-(810000-48*y)^(1/2))/(2*3) ) i y > 16875

( x = ((810000-48*y)^(1/2)+900)/6 or x = (900-(810000-48*y)^(1/2))/6 ) i y > 16875

y-16875 > 0

y-16875 > 0 // + 16875

y > 16875

x in { 150, ((810000-48*y)^(1/2)+900)/6, (900-(810000-48*y)^(1/2))/6 }

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