SOLUTION: Write a quadratic equation whose roots have a sum of 16 and a product of -80

Algebra ->  Radicals -> SOLUTION: Write a quadratic equation whose roots have a sum of 16 and a product of -80      Log On


   



Question 930152: Write a quadratic equation whose roots have a sum of 16 and a product of -80
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 16
y = 16 - x
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xy = -80
x(16 - x) = -80
16x - xx = -80
xx - 16x - 80 = 0
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the above quadratic equation is in standard form, with a=1, b=-16 and c=-80
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -16 -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 = 20
x = -4
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answer:
xx - 16x - 80 = 0
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