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# Coordinates

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27
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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
0

The distance is 2*sqrt(47).

Jul 16, 2022
#2
+2305
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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