If y is a positive integer, for how many different values of y is
id="TexFormula1" title="\sqrt[3]{144\y}" alt="\sqrt[3]{144\y}" align="absmiddle" class="latex-formula">a whole number?
1 answer:
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Answer:
D. 4
Step-by-step explanation:
Without actually solving the equation, recall that for , there are two cases:
In the given equation , there are two pairs of absolute value symbols.
Since each has two cases, there must be a total of different equations created.
All four cases are:
Exponents differ, hence clearly there are four possible solutions to this equation.
You can solve for all four values of by taking the log of both sides and using a bit of algebra to verify you have four solutions.