SOLUTION: Can you please help me solve this: Is it possible to find three consecutive integers such that four times the largest plus the fouth power of the smallest is equal to the square of

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Question 908956: Can you please help me solve this: Is it possible to find three consecutive integers such that four times the largest plus the fouth power of the smallest is equal to the square of the remiaing integer increased by twenty-four. Why or why not?
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Write that equation! Analyze or solve.

Consecutive numbers, integers.
n, n+1, n+2.

4%28n%2B2%29%2Bn%5E4=n%5E2%2B24, but the description is ambiguous.
"the remaining integer increased by twenty-four".
"the square of the remaining integer increased by twenty-four".
You need to make this clearer.

Going with the first interpretation, either the three numbers are consecutive integers, or they are not. Solve the equation for n and find out.