0=((50-10y)^3)/3-((50x)^2)/2

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Solution for 0=((50-10y)^3)/3-((50x)^2)/2 equation:


x in (-oo:+oo)

0 = ((50-(10*y))^3)/3-(((50*x)^2)/2) // - ((50-(10*y))^3)/3-(((50*x)^2)/2)

((50*x)^2)/2-(((50-(10*y))^3)/3)+0 = 0

((50*x)^2)/2-(((50-10*y)^3)/3) = 0

(-1*(50-10*y)^3)/3+1250*x^2 = 0

(-1*(50-10*y)^3)/3+(3*1250*x^2)/3 = 0

3*1250*x^2-1*(50-10*y)^3 = 0

3750*x^2+1000*y^3-15000*y^2+75000*y-125000 = 0

(3750*x^2+1000*y^3-15000*y^2+75000*y-125000)/3 = 0

(3750*x^2+1000*y^3-15000*y^2+75000*y-125000)/3 = 0 // * 3

3750*x^2+1000*y^3-15000*y^2+75000*y-125000 = 0

3750*x^2 = -(1000*y^3-15000*y^2+75000*y-125000) // : 3750

x^2 = (125000-(1000*y^3)-(-15000*y^2)-(75000*y))/3750

x^2 = (15000*y^2-1000*y^3-75000*y+125000)/3750 // ^ 1/2

abs(x) = ((15000*y^2-1000*y^3-75000*y+125000)^(1/2))/(25*6^(1/2))

x = ((15000*y^2-1000*y^3-75000*y+125000)^(1/2))/(25*6^(1/2)) or x = -(((15000*y^2-1000*y^3-75000*y+125000)^(1/2))/(25*6^(1/2)))

x in { ((15000*y^2-1000*y^3-75000*y+125000)^(1/2))/(25*6^(1/2)), -(((15000*y^2-1000*y^3-75000*y+125000)^(1/2))/(25*6^(1/2))) }

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