(x+3)(x+18)/x^2-81=0

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Solution for (x+3)(x+18)/x^2-81=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

((x+3)*(x+18))/(x^2)-81 = 0

((x+3)*(x+18))/(x^2)+(-81*x^2)/(x^2) = 0

(x+3)*(x+18)-81*x^2 = 0

21*x-80*x^2+54 = 0

21*x-80*x^2+54 = 0

21*x-80*x^2+54 = 0

DELTA = 21^2-(-80*4*54)

DELTA = 17721

DELTA > 0

x = (17721^(1/2)-21)/(-80*2) or x = (-17721^(1/2)-21)/(-80*2)

x = (3*1969^(1/2)-21)/(-160) or x = (-3*1969^(1/2)-21)/(-160)

(x-((3*1969^(1/2)-21)/(-160)))*(x-((-3*1969^(1/2)-21)/(-160))) = 0

((x-((3*1969^(1/2)-21)/(-160)))*(x-((-3*1969^(1/2)-21)/(-160))))/(x^2) = 0

((x-((3*1969^(1/2)-21)/(-160)))*(x-((-3*1969^(1/2)-21)/(-160))))/(x^2) = 0 // * x^2

(x-((3*1969^(1/2)-21)/(-160)))*(x-((-3*1969^(1/2)-21)/(-160))) = 0

( x-((-3*1969^(1/2)-21)/(-160)) )

x-((-3*1969^(1/2)-21)/(-160)) = 0 // + (-3*1969^(1/2)-21)/(-160)

x = (-3*1969^(1/2)-21)/(-160)

( x-((3*1969^(1/2)-21)/(-160)) )

x-((3*1969^(1/2)-21)/(-160)) = 0 // + (3*1969^(1/2)-21)/(-160)

x = (3*1969^(1/2)-21)/(-160)

x in { (-3*1969^(1/2)-21)/(-160), (3*1969^(1/2)-21)/(-160) }

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