Question

Solve for x. x3= −1000 Enter your answer in the box. x =

Answer 1

x3=-1000
x3=-10^3
cubing both sides
x=-10

Answer 2

Answer:

x = -10

Step-by-step explanation:

We have been given the equation $x^3=-1000$

In order to solve for x, let us find the factors of 1000.

1000 = 10×10×10

Thus, the equation becomes

$x^3=-(10\times10\times10)\\\text{Now, we can write }10\times10\times10=10^3\\x^3=-10^3$

Take cube root both sides

$\sqrt[3]{x^3}=\sqrt[3]{-10^3}\\x=-10$

Hence, value of x is

x = -10