Find three positive numbers the sum of which is 27, such that the sum of their squares is as small as possible.
1 answer:
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Based on the calculations, the unknown number is equal to
- Let the unknown number be x.
Translate the word problem into an algebraic expression, we have;
Adding 21 to the unknown number:
Multiplying the result by 3:
84 more than two-thirds of the unknown number:
Equating the equations, we have:
Cross-multiplying, we have:
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