100/x^2-25-1=2x/x-2

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Solution for 100/x^2-25-1=2x/x-2 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)

100/(x^2)-25-1 = (2*x)/x-2 // - (2*x)/x-2

100/(x^2)-((2*x)/x)-25-1+2 = 0

100/(x^2)-25-2-1+2 = 0

100*x^-2 = 26 // : 100

x^-2 = 13/50

-2 < 0

1/(x^2) = 13/50 // * x^2

1 = 13/50*x^2 // : 13/50

50/13 = x^2

x^2 = 50/13 // ^ 1/2

abs(x) = (50/13)^(1/2)

x = (50/13)^(1/2) or x = -(50/13)^(1/2)

x in { (50/13)^(1/2), -(50/13)^(1/2) }

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