What are the solutions to the equation a^3=125 ?

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

Find the zeros of a^3=125

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

a^{3} = 125

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

Solution steps

a^{3} = 125

For

x^{3} = f (a)

the solutions are

Simplify

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

4 x + 3 = x^{3} + 3 x^{2} - 9 x + 12

4 x^{4} + 2 x^{2} + 1 = 0

(x^{2} - 5 x + 6) (x^{2} + 5 x + 6) - 2 x^{2} = 0

1 - 3 t^{2} - 3 t + t^{3} = 0

20 x^{4} - 5 x^{3} - 12 x^{2} + 3 x = 0

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