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mbonham481
22.06.2021 •
Mathematics
A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33. Find the numbers.
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Ответ:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be x and y, where y is the larger of the two numbers.
Since y is the larger number, it is one more than the smaller number. So:
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
Substitute:
Solve for x. Square:
Simplify:
Subtract one from both sides:
And take the square root of both sides:
Since y is positive, we can ignore the negative case. So, the smaller number is:
And the larger number is:
Ответ: