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

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Solution for (4x^2-7x-2)/(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)-2)/(x-2) = 0

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

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

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

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

DELTA = 81

DELTA > 0

x = (81^(1/2)+7)/(2*4) or x = (7-81^(1/2))/(2*4)

x = 2 or x = -1/4

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

x+1/4 = 0

x+1/4 = 0 // - 1/4

x = -1/4

x = -1/4

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