Question

What value of x makes the following equation true? x³=6

1) x=±6√
2) x=6√3
3) x is equal to cube root of 6
4) x=±6√3
5) x=-6√3
6) x is equal to negative cube root of 6

Answer 1

The value of x that makes the equation x³=6 true is the cube root of 6. This is expressed as x = ∛6, which lies between 1 and 2.

Step-by-step explanation:

The question asks what value of x makes the equation x³=6 true. To solve for x, we need to find the cube root of 6. The cube root of a number y is a value that, when multiplied by itself three times, gives the number y. In this case, we are looking for the value that, when multiplied by itself three times, equals 6.

Therefore, the answer is (3) x is equal to the cube root of 6. This can be written in mathematical notation as x = ∛6. The cube root of a number can be found using a scientific calculator, or estimated by knowing that the cube root of 8 is 2 and the cube root of 1 is 1, putting the cube root of 6 somewhere between 1 and 2. As this is a positive cube root, we can rule out any negative values or answers that imply there are multiple solutions, because the cube function of a real number has only one real root.