Question 343516: How do I find two numbers that differ by 8 and whose product is 273 by setting up and solving with the quadratic equation? Found 2 solutions by scott8148, stanbon:Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! How do I find two numbers that differ by 8 and whose product is 273 by setting up and solving with the quadratic equation?
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Equations:
x - y = 8
xy = 273
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Substitute for x and solve for "y":
(y+8)y = 273
y^2+8y-273 = 0
(y-13)(y+21) = 0
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1st Solution:
y = 13 so x = 21
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2nd Solution:
y = -21 so x = -13
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Cheers,
Stan H.