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Question 925854: the sum of two numbers is equal to 15. the product of the numbers is 44. what are the two numbers
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! x + y = 15
xy = 44
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y = 15 - x
x(15 - x) = 44
15x - xx = 44
xx - 15x + 44 = 0
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the above quadratic equation is in standard form, with a=1, b=-15 and c=44
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -15 44
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the quadratic has two real roots at:
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x = 11
x = 4
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y = 15 - 11 = 4
y = 15 - 4 = 11
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answer:
the two numbers are 11 and 4
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