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The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?

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Answer:

Explanation:

x, 30 - x add to 30. The other condition says

x (30 - x) = 176. Multiply it out.

30x - x^2 = 176, so

x^2 - 30x = -176, complete square by adding 15^2 to both sides

(x - 15)^2 = 225 - 176 = 49, take square root

x - 15 = 7, so one number is:

x = 22 and the other is 30 - x = 8.

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