SOLUTION: Two numbers have a sum = 18 and a product = 80. Find the two numbers. List the smaller number first

Question 937452: Two numbers have a sum = 18 and a product = 80. Find the two numbers. List the smaller number first
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = smaller number
y = larger number
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x + y = 18
y = 18 - x
xy = 80
x(18 - x) = 80
-xx + 18x - 80 = 0
xx - 18x + 80 = 0
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the above quadratic equation is in standard form, with a=1, b=-18 and c=80
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -18 80
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 = 10
x = 8
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x = 8
y = 18 - x
y = 18 - 8
y = 10
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answer:
x = 8
y = 10
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