(5x^2+39x+32)/(x+7)

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Solution for (5x^2+39x+32)/(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)

(5*x^2+39*x+32)/(x+7) = 0

5*x^2+39*x+32 = 0

5*x^2+39*x+32 = 0

DELTA = 39^2-(4*5*32)

DELTA = 881

DELTA > 0

x = (881^(1/2)-39)/(2*5) or x = (-881^(1/2)-39)/(2*5)

x = (881^(1/2)-39)/10 or x = (-(881^(1/2)+39))/10

(x+(881^(1/2)+39)/10)*(x-((881^(1/2)-39)/10)) = 0

((x+(881^(1/2)+39)/10)*(x-((881^(1/2)-39)/10)))/(x+7) = 0

( x+(881^(1/2)+39)/10 )

x+(881^(1/2)+39)/10 = 0 // - (881^(1/2)+39)/10

x = -((881^(1/2)+39)/10)

( x-((881^(1/2)-39)/10) )

x-((881^(1/2)-39)/10) = 0 // + (881^(1/2)-39)/10

x = (881^(1/2)-39)/10

x in { -((881^(1/2)+39)/10), (881^(1/2)-39)/10 }

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