x^2/x-10=100/x-10

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Solution for x^2/x-10=100/x-10 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^2)/x-10 = 100/x-10 // - 100/x-10

(x^2)/x-(100/x)-10+10 = 0

(x^2)/x-100*x^-1-10+10 = 0

1*x^1-100*x^-1 = 0

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

x^1*(1*x^2-100*x^0) = 0

x^1

x^2-100 = 0

x^2-100 = 0

DELTA = 0^2-(-100*1*4)

DELTA = 400

DELTA > 0

x = (400^(1/2)+0)/(1*2) or x = (0-400^(1/2))/(1*2)

x = 10 or x = -10

x in { -10, 10} 

x in { -10, 10 }

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