100/x^2-25+1=2x/x-5

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Solution for 100/x^2-25+1=2x/x-5 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-5 // - (2*x)/x-5

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

100/(x^2)-25-2+1+5 = 0

100*x^-2 = 21 // : 100

x^-2 = 21/100

-2 < 0

1/(x^2) = 21/100 // * x^2

1 = 21/100*x^2 // : 21/100

100/21 = x^2

x^2 = 100/21 // ^ 1/2

abs(x) = (100/21)^(1/2)

x = (100/21)^(1/2) or x = -(100/21)^(1/2)

x in { (100/21)^(1/2), -(100/21)^(1/2) }

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