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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.
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Use the problem solving strategy Guess and Test to find two values of n that make the equation 4n = n3 true.

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peter
Asked by peterrep:202
School not set 25 June 2020

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judziy
Judziy answeredrep:213
University of Benin 25 June 2020
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4n = n3

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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