Question

X^3 = 1,000
algebratic equations

Answer 1

x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)

Explanation:

x^3 = 1000

x^3 - 1000 = 0

(x - 10)(x^2 + 10x + 100) = 0

x = 10 or x^2 + 10x + 100 = 0

x = 10 or x^2 + 10x + 25 = -100 + 25

x = 10 or (x + 5)^2 = -75

x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)

x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)

Answer 2

10

Explanation:

x³=1000

x=3√1000

x=10