2=-6/(x-10)+8/(x-10)^2

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Solution for 2=-6/(x-10)+8/(x-10)^2 equation: 


D( x )

(x-10)^2 = 0

x-10 = 0

(x-10)^2 = 0

(x-10)^2 = 0

x-10 = 0 // + 10

x = 10

x-10 = 0

x-10 = 0

x-10 = 0 // + 10

x = 10

x in (-oo:10) U (10:+oo)

2 = 8/((x-10)^2)-6/(x-10) // - 8/((x-10)^2)-6/(x-10)

2-(-6/(x-10))-(8/((x-10)^2)) = 0

6*(x-10)^-1-8*(x-10)^-2+2 = 0

6/(x-10)-8/((x-10)^2)+2 = 0

(6*(x-10))/((x-10)^2)-8/((x-10)^2)+(2*(x-10)^2)/((x-10)^2) = 0

6*(x-10)+2*(x-10)^2-8 = 0

2*x^2+6*x-40*x-68+200 = 0

2*x^2-34*x+132 = 0

2*x^2-34*x+132 = 0

2*(x^2-17*x+66) = 0

x^2-17*x+66 = 0

DELTA = (-17)^2-(1*4*66)

DELTA = 25

DELTA > 0

x = (25^(1/2)+17)/(1*2) or x = (17-25^(1/2))/(1*2)

x = 11 or x = 6

2*(x-6)*(x-11) = 0

(2*(x-6)*(x-11))/((x-10)^2) = 0

(2*(x-6)*(x-11))/((x-10)^2) = 0 // * (x-10)^2

2*(x-6)*(x-11) = 0

( x-11 )

x-11 = 0 // + 11

x = 11

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 11, 6 }

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