Answer:
x=-2
Explanation:
In this kind of question,we will have to be extra careful to prevent errors or mistake.reason for the errors and mistake is that there is a negative sign in front of the 8...so any solution must ensure to involve the negative sign...or else the final answer will be discarded...
So back to the question
X^3=-8
Which means that the cube of x is 8 and we are to solve for x, therefore to solve this question...we will have to cube root both sides...why
So as to eliminate the cube on x...
Ok how,cube root of x^3 can also be written as x^3×1/3 which gives x
And cube root of -8 will be either 8^1/3 or3√-8
And the answer is-2
To confirm the answer we can say -2×-2×-2=-8
So the final answer is -2
Therefore x=-2