(4x^3-39x+35)/(x^2+2x-24)

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Solution for (4x^3-39x+35)/(x^2+2x-24) equation:


D( x )

x^2+2*x-24 = 0

x^2+2*x-24 = 0

x^2+2*x-24 = 0

x^2+2*x-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-2)/(1*2) or x = (-100^(1/2)-2)/(1*2)

x = 4 or x = -6

x in (-oo:-6) U (-6:4) U (4:+oo)

(4*x^3-(39*x)+35)/(x^2+2*x-24) = 0

(4*x^3-39*x+35)/(x^2+2*x-24) = 0

4*x^3-39*x+35 = 0

4*x^3-39*x+35 = 0

{ 1, -1, 5, -5, 7, -7, 35, -35 }

1

x = 1

4*x^3-39*x+35 = 0

1

x-1

4*x^2+4*x-35

4*x^3-39*x+35

x-1

4*x^2-4*x^3

4*x^2-39*x+35

4*x-4*x^2

35-35*x

35*x-35

0

4*x^2+4*x-35 = 0

DELTA = 4^2-(-35*4*4)

DELTA = 576

DELTA > 0

x = (576^(1/2)-4)/(2*4) or x = (-576^(1/2)-4)/(2*4)

x = 5/2 or x = -7/2

x in { -7/2, 5/2, 1}

(x+7/2)*(x-5/2)*(x-1) = 0

x^2+2*x-24 = 0

x^2+2*x-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-2)/(1*2) or x = (-100^(1/2)-2)/(1*2)

x = 4 or x = -6

(x+6)*(x-4) = 0

((x+7/2)*(x-5/2)*(x-1))/((x+6)*(x-4)) = 0

( x+7/2 )

x+7/2 = 0 // - 7/2

x = -7/2

( x-1 )

x-1 = 0 // + 1

x = 1

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

x in { -7/2, 1, 5/2 }

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