(4x^2+31x+22)/(x+7)

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Solution for (4x^2+31x+22)/(x+7) equation:


D( x )

x+7 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x in (-oo:-7) U (-7:+oo)

(4*x^2+31*x+22)/(x+7) = 0

4*x^2+31*x+22 = 0

4*x^2+31*x+22 = 0

DELTA = 31^2-(4*4*22)

DELTA = 609

DELTA > 0

x = (609^(1/2)-31)/(2*4) or x = (-609^(1/2)-31)/(2*4)

x = (609^(1/2)-31)/8 or x = (-(609^(1/2)+31))/8

(x+(609^(1/2)+31)/8)*(x-((609^(1/2)-31)/8)) = 0

((x+(609^(1/2)+31)/8)*(x-((609^(1/2)-31)/8)))/(x+7) = 0

( x+(609^(1/2)+31)/8 )

x+(609^(1/2)+31)/8 = 0 // - (609^(1/2)+31)/8

x = -((609^(1/2)+31)/8)

( x-((609^(1/2)-31)/8) )

x-((609^(1/2)-31)/8) = 0 // + (609^(1/2)-31)/8

x = (609^(1/2)-31)/8

x in { -((609^(1/2)+31)/8), (609^(1/2)-31)/8 }

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