What are the solutions to the equation x^3-9x-3240=0 ?

The solutions to the equation x^3-9x-3240=0 are x=15,x=-15/2+i(3sqrt(71))/2 ,x=-15/2-i(3sqrt(71))/2

Find the zeros of x^3-9x-3240=0

The zeros of x^3-9x-3240=0 are x=15,x=-15/2+i(3sqrt(71))/2 ,x=-15/2-i(3sqrt(71))/2

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x^{3} - 9 x - 3240 = 0

x = 15, x = - \frac{15}{2} + i \frac{3 71}{2}, x = - \frac{15}{2} - i \frac{3 71}{2}

Solution steps

x^{3} - 9 x - 3240 = 0

Factor

x^{3} - 9 x - 3240 : (x - 15) (x^{2} + 15 x + 216)

(x - 15) (x^{2} + 15 x + 216) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 15 = 0 or x^{2} + 15 x + 216 = 0

Solve

x - 15 = 0 : x = 15

Solve

x^{2} + 15 x + 216 = 0 : x = - \frac{15}{2} + i \frac{3 71}{2}, x = - \frac{15}{2} - i \frac{3 71}{2}

The solutions are

x = 15, x = - \frac{15}{2} + i \frac{3 71}{2}, x = - \frac{15}{2} - i \frac{3 71}{2}

2 x^{3} - 9 x^{2} + 12 x - 5 = 0

9 x^{3} - 12 x^{2} - 8 x - 1 = 0

4 x^{3} - x^{2} + 36 - 9 x = 0

20 x^{3} - 48 x^{2} + 24 x = 0

x^{3} - 6 x^{2} - 7 x + 60 = 0

What are the solutions to the equation x^3-9x-3240=0 ?
The solutions to the equation x^3-9x-3240=0 are x=15,x=-15/2+i(3sqrt(71))/2 ,x=-15/2-i(3sqrt(71))/2
Find the zeros of x^3-9x-3240=0
The zeros of x^3-9x-3240=0 are x=15,x=-15/2+i(3sqrt(71))/2 ,x=-15/2-i(3sqrt(71))/2