If x+y=7 and xy=2,find x^2-y^2.
Please be quick
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Hey there !
Thanks for the question !
Here's the answer !
( x + y )² = x² + y² + 2xy
=> x² + y² = ( x + y )² - 2xy
We are given that,
x + y = 7 ; xy = 10
=> x² + y² = ( 7 )² - 2 ( 10 )
=> x² + y² = 49 - 20
=> x² + y² = 29
Hence 29 is the required solution.
Hope my answer helped !
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