710-5x/(x-1)=x

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Solution for 710-5x/(x-1)=x equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

710-((5*x)/(x-1)) = x // - x

710-((5*x)/(x-1))-x = 0

710-5*x*(x-1)^-1-x = 0

(-5*x)/(x-1)-x+710 = 0

(-5*x)/(x-1)+(-x*(x-1))/(x-1)+(710*(x-1))/(x-1) = 0

710*(x-1)-x*(x-1)-5*x = 0

710*x-x^2-4*x-710 = 0

706*x-x^2-710 = 0

706*x-x^2-710 = 0

706*x-x^2-710 = 0

DELTA = 706^2-(-710*(-1)*4)

DELTA = 495596

DELTA > 0

x = (495596^(1/2)-706)/(-1*2) or x = (-495596^(1/2)-706)/(-1*2)

x = (2*123899^(1/2)-706)/(-2) or x = (-2*123899^(1/2)-706)/(-2)

(x-((2*123899^(1/2)-706)/(-2)))*(x-((-2*123899^(1/2)-706)/(-2))) = 0

((x-((2*123899^(1/2)-706)/(-2)))*(x-((-2*123899^(1/2)-706)/(-2))))/(x-1) = 0

((x-((2*123899^(1/2)-706)/(-2)))*(x-((-2*123899^(1/2)-706)/(-2))))/(x-1) = 0 // * x-1

(x-((2*123899^(1/2)-706)/(-2)))*(x-((-2*123899^(1/2)-706)/(-2))) = 0

( x-((-2*123899^(1/2)-706)/(-2)) )

x-((-2*123899^(1/2)-706)/(-2)) = 0 // + (-2*123899^(1/2)-706)/(-2)

x = (-2*123899^(1/2)-706)/(-2)

( x-((2*123899^(1/2)-706)/(-2)) )

x-((2*123899^(1/2)-706)/(-2)) = 0 // + (2*123899^(1/2)-706)/(-2)

x = (2*123899^(1/2)-706)/(-2)

x in { (-2*123899^(1/2)-706)/(-2), (2*123899^(1/2)-706)/(-2) }

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