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If x + 2y= 4 and xy = 8, what is the value of x^2 + 4y^2?

 Aug 3, 2022
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x + 2y =  8         square both sides

 

x^2  + 4xy  + 4y^2  =   64

 

x^2 + 4(8) + 4y^2  =    64

 

x^2 + 4y^2  =  64 - 4(8)

 

x^2 + 4y^2  =  32

 

cool cool cool

 Aug 3, 2022

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