2x+(2/(2x-12))

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Solution for 2x+(2/(2x-12)) equation: 


D( x )

2*x-12 = 0

2*x-12 = 0

2*x-12 = 0

2*x-12 = 0 // + 12

2*x = 12 // : 2

x = 12/2

x = 6

x in (-oo:6) U (6:+oo)

2/(2*x-12)+2*x = 0

2/(2*x-12)+(2*x*(2*x-12))/(2*x-12) = 0

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

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

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

2*(2*x^2-12*x+1) = 0

2*x^2-12*x+1 = 0

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

DELTA = 136

DELTA > 0

x = (136^(1/2)+12)/(2*2) or x = (12-136^(1/2))/(2*2)

x = (2*34^(1/2)+12)/4 or x = (12-2*34^(1/2))/4

2*(x-((12-2*34^(1/2))/4))*(x-((2*34^(1/2)+12)/4)) = 0

(2*(x-((12-2*34^(1/2))/4))*(x-((2*34^(1/2)+12)/4)))/(2*x-12) = 0

(2*(x-((12-2*34^(1/2))/4))*(x-((2*34^(1/2)+12)/4)))/(2*x-12) = 0 // * 2*x-12

2*(x-((12-2*34^(1/2))/4))*(x-((2*34^(1/2)+12)/4)) = 0

( x-((12-2*34^(1/2))/4) )

x-((12-2*34^(1/2))/4) = 0 // + (12-2*34^(1/2))/4

x = (12-2*34^(1/2))/4

( x-((2*34^(1/2)+12)/4) )

x-((2*34^(1/2)+12)/4) = 0 // + (2*34^(1/2)+12)/4

x = (2*34^(1/2)+12)/4

x in { (12-2*34^(1/2))/4, (2*34^(1/2)+12)/4 }

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