What are the solutions to the equation x^3-x-3360=0 ?

The solutions to the equation x^3-x-3360=0 are x=15,x=-15/2+i(sqrt(671))/2 ,x=-15/2-i(sqrt(671))/2

Find the zeros of x^3-x-3360=0

The zeros of x^3-x-3360=0 are x=15,x=-15/2+i(sqrt(671))/2 ,x=-15/2-i(sqrt(671))/2

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x^{3} - x - 3360 = 0

x = 15, x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

Solution steps

x^{3} - x - 3360 = 0

Factor

x^{3} - x - 3360 : (x - 15) (x^{2} + 15 x + 224)

(x - 15) (x^{2} + 15 x + 224) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 15 = 0 or x^{2} + 15 x + 224 = 0

Solve

x - 15 = 0 : x = 15

Solve

x^{2} + 15 x + 224 = 0 : x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

The solutions are

x = 15, x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

b^{3} + 2 b^{2} - 10 b - 19 = 0

x, x^{3} + y^{3} = x^{3} y^{3}

x^{25} = x^{0}

x^{4} + (x - 1)^{4} = 97

x^{3} = - 3

What are the solutions to the equation x^3-x-3360=0 ?
The solutions to the equation x^3-x-3360=0 are x=15,x=-15/2+i(sqrt(671))/2 ,x=-15/2-i(sqrt(671))/2
Find the zeros of x^3-x-3360=0
The zeros of x^3-x-3360=0 are x=15,x=-15/2+i(sqrt(671))/2 ,x=-15/2-i(sqrt(671))/2