y=(x^2-125)/(x^2+5x+25)

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Solution for y=(x^2-125)/(x^2+5x+25) equation: 


D( x )

x^2+5*x+25 = 0

x^2+5*x+25 = 0

x^2+5*x+25 = 0

x^2+5*x+25 = 0

DELTA = 5^2-(1*4*25)

DELTA = -75

DELTA < 0

x in (-oo:+oo)

y = (x^2-125)/(x^2+5*x+25) // - (x^2-125)/(x^2+5*x+25)

y-((x^2-125)/(x^2+5*x+25)) = 0

(-1*(x^2-125))/(x^2+5*x+25)+y = 0

x^2+5*x+25 = 0

x^2+5*x+25 = 0

x^2+5*x+25 = 0

DELTA = 5^2-(1*4*25)

DELTA = -75

DELTA < 0

1 = 0

y-1*(x^2-125) = 0

y-1*(x^2-125) = 0

y-x^2+125 = 0

y-x^2+125 = 0

-1*x^2 = -(y+125) // : -1

x^2 = y+125

x^2 = y+125 // ^ 1/2

abs(x) = (y+125)^(1/2)

x = (y+125)^(1/2) or x = -(y+125)^(1/2)

x in { (y+125)^(1/2), -(y+125)^(1/2) }

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