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Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.

User Mor Eru
by
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1 Answer

1 vote

Answer:


a=1,\ 2,\ 3,\ 6.

Explanation:

A whole number is any number of a set
\{0,\ 1,\ 2,\ 3,...\}

The equation
ax=6 has a solution
x=(6)/(a),\ a\\eq 0.

If
a=1, then
x=(6)/(1)=6 is a whole number.

If
a=2, then
x=(6)/(2)=3 is a whole number.

If
a=3, then
x=(6)/(3)=2 is a whole number.

If
a=6, then
x=(6)/(6)=1 is a whole number.

For all other values of
a equation
ax=6 will have solution that is not a whole number.

User M Omayr
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