(3x2-2x-7)/(x+2)

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Solution for (3x2-2x-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)

(3*x^2-(2*x)-7)/(x+2) = 0

(3*x^2-2*x-7)/(x+2) = 0

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

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

DELTA = (-2)^2-(-7*3*4)

DELTA = 88

DELTA > 0

x = (88^(1/2)+2)/(2*3) or x = (2-88^(1/2))/(2*3)

x = (2*22^(1/2)+2)/6 or x = (2-2*22^(1/2))/6

(x-((2-2*22^(1/2))/6))*(x-((2*22^(1/2)+2)/6)) = 0

((x-((2-2*22^(1/2))/6))*(x-((2*22^(1/2)+2)/6)))/(x+2) = 0

( x-((2*22^(1/2)+2)/6) )

x-((2*22^(1/2)+2)/6) = 0 // + (2*22^(1/2)+2)/6

x = (2*22^(1/2)+2)/6

( x-((2-2*22^(1/2))/6) )

x-((2-2*22^(1/2))/6) = 0 // + (2-2*22^(1/2))/6

x = (2-2*22^(1/2))/6

x in { (2*22^(1/2)+2)/6, (2-2*22^(1/2))/6 }

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