What are the solutions to the equation factor x^3+125=0 ?

The solutions to the equation factor x^3+125=0 are x=-5,x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2

Find the zeros of factor x^3+125=0

The zeros of factor x^3+125=0 are x=-5,x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2

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factor

x^{3} + 125 = 0

x = - 5, x = \frac{5}{2} + i \frac{5 3}{2}, x = \frac{5}{2} - i \frac{5 3}{2}

Solution steps

x^{3} + 125 = 0

Factor

x^{3} + 125 : (x + 5) (x^{2} - 5 x + 25)

(x + 5) (x^{2} - 5 x + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} - 5 x + 25 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} - 5 x + 25 = 0 : x = \frac{5}{2} + i \frac{5 3}{2}, x = \frac{5}{2} - i \frac{5 3}{2}

The solutions are

x = - 5, x = \frac{5}{2} + i \frac{5 3}{2}, x = \frac{5}{2} - i \frac{5 3}{2}

x^{4} + 13 x^{2} + 40 = 0

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

- x^{3} + 6 x^{2} + 15 x + 8

a^{3} + 5 a + 6 = 0

x^{5} - 243 = 0

What are the solutions to the equation factor x^3+125=0 ?
The solutions to the equation factor x^3+125=0 are x=-5,x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2
Find the zeros of factor x^3+125=0
The zeros of factor x^3+125=0 are x=-5,x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2