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Use the problem solving strategy Guess and Test to find two values of n that make the equation 4n = n^{3} true.

Asked by peter•rep:202

School not set • 25 June 2020

School not set • 25 June 2020

**Comments**

Judziy answered•rep:213

University of Benin • 25 June 2020

University of Benin • 25 June 2020

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4n = n^{3}

We will guess for a range of n = -2 to n = 2.

Guess 1, when n = -2,

4(-2) = (-2)^{3}

-8 = -8

**Thus, n = -2 is true**

Guess 2, when n = -1

4(-1) = (-1)^{3}

-4 = -1

n = -1 is false

Guess 3, n = 0

4(0) = (0)^{3}

0 = 0

**n = 0 is true**

Guess 4, n = 1

4(1) = (1)^{3}

4 = 1

n = 1 is false

Guess 5, when n = 2

4(2) = (2)^{3}

8 = 8

**Thus, n = 2 is true.**

Therefore, the values of n that will make the above expression *true* are:

**-2, 0, 2**

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