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Positive real numbers x and y satisfy the equations x^2 + y^2 = 1 and x^4 + y^4 = 5/8. Find xy.

 Oct 21, 2021
 #1
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answer: sqrt(3)

 Oct 21, 2021
 #2
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Hello Guest,

 

there are 5 solutions, but one of them have positive real numbers.

 

(x,y)=(12,32) wolframalpha

 

1232= 0.433 .

 

Straight

 Oct 30, 2021
 #3
avatar+33659 
+3

You can do it like this:

 Oct 31, 2021

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