(X^3+14x^2+41x-50)/(x+8)

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Solution for (X^3+14x^2+41x-50)/(x+8) equation: 


D( x )

x+8 = 0

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

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

(X^3+14*x^2+41*x-50)/(x+8) = 0

X^3+14*x^2+41*x-50 = 0

DELTA = 41^2-(4*14*(X^3-50))

DELTA = 1681-56*(X^3-50)

1681-56*(X^3-50) = 0

1681-56*(X^3-50) = 0

4481-56*X^3 = 0

4481-56*X^3 = 0

-56*X^3 = -4481 // : -56

X^3 = 4481/56

X^3 = 4481/56 // ^ 1/3

X = (4481/56)^(1/3)

DELTA = 0  <=>  t_2 = (4481/56)^(1/3)

x = -41/(2*14) i X = (4481/56)^(1/3)

x = -41/28 i X = (4481/56)^(1/3)

( x = ((1681-56*(X^3-50))^(1/2)-41)/(2*14) or x = (-(1681-56*(X^3-50))^(1/2)-41)/(2*14) ) i X > (4481/56)^(1/3)

( x = ((1681-56*(X^3-50))^(1/2)-41)/28 or x = (-((1681-56*(X^3-50))^(1/2)+41))/28 ) i X > (4481/56)^(1/3)

X-(4481/56)^(1/3) > 0

X-(4481/56)^(1/3) > 0 // + (4481/56)^(1/3)

X > (4481/56)^(1/3)

x in { -41/28, ((1681-56*(X^3-50))^(1/2)-41)/28, (-((1681-56*(X^3-50))^(1/2)+41))/28 }

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