Question 1061871: a positive 3 is less than a another. When 6 times the larger is added to the square of the smaller, the result is 27.
Find the numbers. Answer by ikleyn(52884) (Show Source):
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a positive is 3 less than a another. When 6 times the larger is added to the square of the smaller, the result is 27.
Find the numbers.
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Let "x" be the smaller positive number.
Then the larger number is (x+3).
The condition says
= 27.
Simplify:
= 0.
Solve the quadratic equation:
= = = .
The positive root is x = -3 + 3*sqrt(2).
Answer. The smaller number is . The larger number is .
