(4x^2+15x+8)/(x+3)

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Solution for (4x^2+15x+8)/(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)

(4*x^2+15*x+8)/(x+3) = 0

4*x^2+15*x+8 = 0

4*x^2+15*x+8 = 0

DELTA = 15^2-(4*4*8)

DELTA = 97

DELTA > 0

x = (97^(1/2)-15)/(2*4) or x = (-97^(1/2)-15)/(2*4)

x = (97^(1/2)-15)/8 or x = (-(97^(1/2)+15))/8

(x+(97^(1/2)+15)/8)*(x-((97^(1/2)-15)/8)) = 0

((x+(97^(1/2)+15)/8)*(x-((97^(1/2)-15)/8)))/(x+3) = 0

( x+(97^(1/2)+15)/8 )

x+(97^(1/2)+15)/8 = 0 // - (97^(1/2)+15)/8

x = -((97^(1/2)+15)/8)

( x-((97^(1/2)-15)/8) )

x-((97^(1/2)-15)/8) = 0 // + (97^(1/2)-15)/8

x = (97^(1/2)-15)/8

x in { -((97^(1/2)+15)/8), (97^(1/2)-15)/8 }

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