(24x^3-31x^2-79x)/(8x+3)

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Solution for (24x^3-31x^2-79x)/(8x+3) equation: 


D( x )

8*x+3 = 0

8*x+3 = 0

8*x+3 = 0

8*x+3 = 0 // - 3

8*x = -3 // : 8

x = -3/8

x in (-oo:-3/8) U (-3/8:+oo)

(24*x^3-(31*x^2)-(79*x))/(8*x+3) = 0

(24*x^3-31*x^2-79*x)/(8*x+3) = 0

24*x^3-31*x^2-79*x = 0

x*(24*x^2-31*x-79) = 0

24*x^2-31*x-79 = 0

DELTA = (-31)^2-(-79*4*24)

DELTA = 8545

DELTA > 0

x = (8545^(1/2)+31)/(2*24) or x = (31-8545^(1/2))/(2*24)

x = (8545^(1/2)+31)/48 or x = (31-8545^(1/2))/48

x*(x-((31-8545^(1/2))/48))*(x-((8545^(1/2)+31)/48)) = 0

(x*(x-((31-8545^(1/2))/48))*(x-((8545^(1/2)+31)/48)))/(8*x+3) = 0

( x-((31-8545^(1/2))/48) )

x-((31-8545^(1/2))/48) = 0 // + (31-8545^(1/2))/48

x = (31-8545^(1/2))/48

( x-((8545^(1/2)+31)/48) )

x-((8545^(1/2)+31)/48) = 0 // + (8545^(1/2)+31)/48

x = (8545^(1/2)+31)/48

( x )

x = 0

x in { (31-8545^(1/2))/48, (8545^(1/2)+31)/48, 0 }

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