5x/x-3+90/x^2-9-5x/x+3

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Solution for 5x/x-3+90/x^2-9-5x/x+3 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

90/(x^2)-((5*x)/x)+(5*x)/x-9-3+3 = 0

90/(x^2)+(5*x)/x-((5*x)/x)-9-3+3 = 0

90/(x^2)+(5*x)/x-9-5-3+3 = 0

90*x^-2 = 9 // : 90

x^-2 = 1/10

-2 < 0

1/(x^2) = 1/10 // * x^2

1 = 1/10*x^2 // : 1/10

10 = x^2

x^2 = 10 // ^ 1/2

abs(x) = 10^(1/2)

x = 10^(1/2) or x = -10^(1/2)

x in { 10^(1/2), -10^(1/2) }

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