What are the solutions to the equation 0=8x^3-125 ?

The solutions to the equation 0=8x^3-125 are x= 5/2 ,x=-5/4+(5sqrt(3))/4 i,x=-5/4-(5sqrt(3))/4 i

Find the zeros of 0=8x^3-125

The zeros of 0=8x^3-125 are x= 5/2 ,x=-5/4+(5sqrt(3))/4 i,x=-5/4-(5sqrt(3))/4 i

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0 = 8 x^{3} - 125

x = \frac{5}{2}, x = - \frac{5}{4} + \frac{5 3}{4} i, x = - \frac{5}{4} - \frac{5 3}{4} i

Solution steps

0 = 8 x^{3} - 125

Switch sides

8 x^{3} - 125 = 0

Move

125

to the right side

8 x^{3} = 125

Divide both sides by

8

x^{3} = \frac{125}{8}

For

x^{3} = f (a)

the solutions are

Simplify

x = \frac{5}{2}, x = - \frac{5}{4} + \frac{5 3}{4} i, x = - \frac{5}{4} - \frac{5 3}{4} i

5 y - 62 = y - 2 - y^{3}

12 x^{3} + 18 x^{2} - 18 x - 12 = 0

(5 y^{4})^{3} = 125 y^{24}

z^{8} + 1 = 3 i

2 x^{3} - 6 x^{2} + 2 x + 8 = 0

What are the solutions to the equation 0=8x^3-125 ?
The solutions to the equation 0=8x^3-125 are x= 5/2 ,x=-5/4+(5sqrt(3))/4 i,x=-5/4-(5sqrt(3))/4 i
Find the zeros of 0=8x^3-125
The zeros of 0=8x^3-125 are x= 5/2 ,x=-5/4+(5sqrt(3))/4 i,x=-5/4-(5sqrt(3))/4 i