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The sum of two.number is.24. the.sun.of the square.of the two.nunber is 306. what is the product.of the two.number

1 Answer

3 votes
A) x + y = 24
B) x^2 + y^2 = 306

A) x = 24 -y
Then substituting this into B)
(24 - y)^2 +y^2 = 306
576 -48y +y^2 + y^2 = 306
2 y^2 -48y + 270 = 0
x1 = 15
x2 = 9




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