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Question 930968: The difference between two whole numbers is 14. Their product is 1800. determine the two numbers
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x - y = 14
y = x - 14
xy = 1800
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xy = 1800
x(x - 14) = 1800
xx - 14x - 1800 = 0
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the above quadratic equation is in standard form, with a=1, b=-14 and c=-1800
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -14 -1800
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 50
x = -36
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either root will work for this problem:
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x = 50
y = x - 14
y = 50 - 14
y = 36
or
x = -36
y = x - 14
y = -36 - 14
y = -50
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answer:
x = 50
y = 36
or
x = -36
y = -50
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