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

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


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

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

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

4*x^2-7*x-7 = 0

4*x^2-7*x-7 = 0

DELTA = (-7)^2-(-7*4*4)

DELTA = 161

DELTA > 0

x = (161^(1/2)+7)/(2*4) or x = (7-161^(1/2))/(2*4)

x = (161^(1/2)+7)/8 or x = (7-161^(1/2))/8

(x-((7-161^(1/2))/8))*(x-((161^(1/2)+7)/8)) = 0

((x-((7-161^(1/2))/8))*(x-((161^(1/2)+7)/8)))/(x-2) = 0

( x-((161^(1/2)+7)/8) )

x-((161^(1/2)+7)/8) = 0 // + (161^(1/2)+7)/8

x = (161^(1/2)+7)/8

( x-((7-161^(1/2))/8) )

x-((7-161^(1/2))/8) = 0 // + (7-161^(1/2))/8

x = (7-161^(1/2))/8

x in { (161^(1/2)+7)/8, (7-161^(1/2))/8 }

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