2X-1/(X-3)

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Solution for 2X-1/(X-3) equation:


D( X )

X-3 = 0

X-3 = 0

X-3 = 0

X-3 = 0 // + 3

X = 3

X in (-oo:3) U (3:+oo)

2*X-(1/(X-3)) = 0

2*X-(X-3)^-1 = 0

2*X-1/(X-3) = 0

(2*X*(X-3))/(X-3)-1/(X-3) = 0

2*X*(X-3)-1 = 0

2*X^2-6*X-1 = 0

2*X^2-6*X-1 = 0

2*X^2-6*X-1 = 0

DELTA = (-6)^2-(-1*2*4)

DELTA = 44

DELTA > 0

X = (44^(1/2)+6)/(2*2) or X = (6-44^(1/2))/(2*2)

X = (2*11^(1/2)+6)/4 or X = (6-2*11^(1/2))/4

(X-((6-2*11^(1/2))/4))*(X-((2*11^(1/2)+6)/4)) = 0

((X-((6-2*11^(1/2))/4))*(X-((2*11^(1/2)+6)/4)))/(X-3) = 0

((X-((6-2*11^(1/2))/4))*(X-((2*11^(1/2)+6)/4)))/(X-3) = 0 // * X-3

(X-((6-2*11^(1/2))/4))*(X-((2*11^(1/2)+6)/4)) = 0

( X-((2*11^(1/2)+6)/4) )

X-((2*11^(1/2)+6)/4) = 0 // + (2*11^(1/2)+6)/4

X = (2*11^(1/2)+6)/4

( X-((6-2*11^(1/2))/4) )

X-((6-2*11^(1/2))/4) = 0 // + (6-2*11^(1/2))/4

X = (6-2*11^(1/2))/4

X in { (2*11^(1/2)+6)/4, (6-2*11^(1/2))/4 }

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