(3b^2+2b-7)/(b-3)

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Solution for (3b^2+2b-7)/(b-3) equation: 


D( b )

b-3 = 0

b-3 = 0

b-3 = 0

b-3 = 0 // + 3

b = 3

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

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

3*b^2+2*b-7 = 0

3*b^2+2*b-7 = 0

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

DELTA = 88

DELTA > 0

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

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

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

((b-((-2*22^(1/2)-2)/6))*(b-((2*22^(1/2)-2)/6)))/(b-3) = 0

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

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

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

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

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

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

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

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