2=-4/(x-7)+6/((x-7)^2)

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Solution for 2=-4/(x-7)+6/((x-7)^2) equation:


D( x )

x-7 = 0

(x-7)^2 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

(x-7)^2 = 0

(x-7)^2 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

2 = 6/((x-7)^2)-4/(x-7) // - 6/((x-7)^2)-4/(x-7)

2-(-4/(x-7))-(6/((x-7)^2)) = 0

4*(x-7)^-1-6*(x-7)^-2+2 = 0

4/(x-7)-6/((x-7)^2)+2 = 0

(4*(x-7))/((x-7)^2)-6/((x-7)^2)+(2*(x-7)^2)/((x-7)^2) = 0

4*(x-7)+2*(x-7)^2-6 = 0

2*x^2+4*x-28*x-34+98 = 0

2*x^2-24*x+64 = 0

2*x^2-24*x+64 = 0

2*(x^2-12*x+32) = 0

x^2-12*x+32 = 0

DELTA = (-12)^2-(1*4*32)

DELTA = 16

DELTA > 0

x = (16^(1/2)+12)/(1*2) or x = (12-16^(1/2))/(1*2)

x = 8 or x = 4

2*(x-4)*(x-8) = 0

(2*(x-4)*(x-8))/((x-7)^2) = 0

(2*(x-4)*(x-8))/((x-7)^2) = 0 // * (x-7)^2

2*(x-4)*(x-8) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-8 )

x-8 = 0 // + 8

x = 8

x in { 4, 8 }

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