12x-17/x-1=10x-10/x-1

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Solution for 12x-17/x-1=10x-10/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

12*x-(17/x)-1 = 10*x-(10/x)-1 // - 10*x-(10/x)-1

12*x-(10*x)-(17/x)+10/x-1+1 = 0

12*x-10*x-17*x^-1+10/x-1+1 = 0

2*x^1-7*x^-1 = 0

(2*x^2-7*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-7*x^0) = 0

x^1

2*x^2-7 = 0

2*x^2-7 = 0

DELTA = 0^2-(-7*2*4)

DELTA = 56

DELTA > 0

x = (56^(1/2)+0)/(2*2) or x = (0-56^(1/2))/(2*2)

x = (1*14^(1/2))/2 or x = (-14^(1/2))/2

x in { (-14^(1/2))/2, (1*14^(1/2))/2} 

x in { (-14^(1/2))/2, (1*14^(1/2))/2 }

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