Q: Why is -x cube always negative for any nonzero value of x?

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The cube root of a negative number is negative

The cube of a negative number is negative. Negative times negative is positive, but then you have the third multiplication, and positive times negative is negative. So for example (-2)3 = -8.

Yes.

Yes as for example the cube root of -27 is -3

When two negative or two positive numbers are multiplied together, they always result in a positive number; and when a positive and a negative number are multiplied together, they will always result in a negative number. Thus, you cannot square root a negative number because there are no real numbers that, when squared, would result in a negative number. For example: (-2)(-2) = 4 (2)(2) = 4 √4 = +/- 2 √(-4) = ? No real number, when squared, is a negative! Does not exist! The cube of a number is different, because you are multiplying three numbers together instead of just two. As a result, you can get a negative or a positive number. For example: (-2)(-2)(-2) = -8r (2)(2)(2) = 8 3√8 = 2 3√(-8) = -2

Related questions

The global minimum value is always negative infinity.

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .

The cube root of a negative number is negative

The cube root of a negative number is negative.

Negative 2 (times) cube root of 54 = -7.55953 Negative 2 (plus) cube root of 54 = 1.77976

The value depends on what the cube is made from! A cube does not have any intrinsic value.

The cube of a negative number is negative. Negative times negative is positive, but then you have the third multiplication, and positive times negative is negative. So for example (-2)3 = -8.

It depend how many negative numbers are written on the cube.

Yes.

Yes as for example the cube root of -27 is -3

When two negative or two positive numbers are multiplied together, they always result in a positive number; and when a positive and a negative number are multiplied together, they will always result in a negative number. Thus, you cannot square root a negative number because there are no real numbers that, when squared, would result in a negative number. For example: (-2)(-2) = 4 (2)(2) = 4 √4 = +/- 2 √(-4) = ? No real number, when squared, is a negative! Does not exist! The cube of a number is different, because you are multiplying three numbers together instead of just two. As a result, you can get a negative or a positive number. For example: (-2)(-2)(-2) = -8r (2)(2)(2) = 8 3√8 = 2 3√(-8) = -2

there is no cube roots in negative