If x is a whole number and 437 = (21 + x)(21 - x), then x =

2

Step-by-step explanation:

In general, .

So we have here that:

We went by itself first.

Subtract 441 on both sides:

Multiply both sides by -1:

Take the square root of boht sides:

So both 2 and -2 would satisfy the equation.

Only one of these is a whole number.

The whole numbers consist of the elements that you can count with and 0.

The whole number set is {0,1,2,3,4,5,6,7,...}

So 2 is the answer.

Check:

Replace x with 2:

437=(21+2)(21-2)

437=(23)(19)

437=437 is a true equation so 2 is definitely a solution.

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