# If ab=2 and (a+b)^2=10, what is a^2+b^2?

QUESTION POSTED AT 16/04/2020 - 05:56 PM

QUESTION POSTED AT 16/04/2020 - 05:56 PM

(a+b)² = a² + 2ab +b²

if ab = 2 , then a = 2/b and ab =2 in the above equation

(a+a/2)² = a² + 2 +b²

(3a/2)² = a²+b²+2

9a²/4 - 2 = a²+b² =

if ab = 2 , then a = 2/b and ab =2 in the above equation

(a+a/2)² = a² + 2 +b²

(3a/2)² = a²+b²+2

9a²/4 - 2 = a²+b² =

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