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Given that x+y=13 and xy=-24, find the distance from the point (x,y) to the origin.

 Jul 16, 2022
 #1
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The distance is 2*sqrt(47).

 Jul 16, 2022
 #2
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We are trying to find \(\sqrt{x^2 + y^2}\).

 

Simplify as follows: 

 

\(\sqrt{(x+y)^2 - 2xy}\)

\(\sqrt{13^2 -( 2 \times -24)}\)

\(\sqrt{169 - - 48}\)

\(\sqrt{169 + 48}\)

\(\color{brown}\boxed{\sqrt{217}}\)

 Jul 16, 2022

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