anonymous
  • anonymous
if a*a + b*b + c*c + d*d =762 ab + cd = 260 ac + bd = 365 ad + bc = 244 find abcd (Sorry can't write the squared of a, b, c, nor d)
Mathematics
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anonymous
  • anonymous
if a*a + b*b + c*c + d*d =762 ab + cd = 260 ac + bd = 365 ad + bc = 244 find abcd (Sorry can't write the squared of a, b, c, nor d)
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
You have 4 equations with 4 variables. Do you need to solve this in the hand? Or are you allowed to use CAS-tools? If you are allowed to use CAS-tools, check out wolframalpha. http://www.wolframalpha.com/input/?i=a*a%2Bb*b%2Bc*c%2Bd*d%3D762%2C+a*b%2Bc*d%3D260%2C+a*c%2Bb*d%3D365%2C+a*d%2Bb*c%3D244 There is 4 different solutions to the problem, as you can see. But if you need to solve this in the hand then you can the System of linear equations. https://en.wikipedia.org/wiki/System_of_linear_equations

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