6x/x^2-8x+12

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Solution for 6x/x^2-8x+12 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(6*x)/(x^2)-(8*x)+12 = 0

(6*x)/(x^2)-8*x+12 = 0

6*x^-1-8*x^1+12*x^0 = 0

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

x^1*(12*x^1-8*x^2+6*x^0) = 0

x^1

12*x-8*x^2+6 = 0

12*x-8*x^2+6 = 0

DELTA = 12^2-(-8*4*6)

DELTA = 336

DELTA > 0

x = (336^(1/2)-12)/(-8*2) or x = (-336^(1/2)-12)/(-8*2)

x = (4*21^(1/2)-12)/(-16) or x = (-4*21^(1/2)-12)/(-16)

x in { (4*21^(1/2)-12)/(-16), (-4*21^(1/2)-12)/(-16)}

x in { (4*21^(1/2)-12)/(-16), (-4*21^(1/2)-12)/(-16) }

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