if x^2 + y^2 = 9 and xy = 8, find the value of x+y
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Answered by
5
x²+y² = 9
xy = 8
we know , (x+y)² = x²+y²+2xy
=> (x+y)² = 9+2(8)
=> (x+y)² = 9+16 = 25
=> (x+y)² = 25
=> (x+y) = √25 = +5 or -5
hope this helps
xy = 8
we know , (x+y)² = x²+y²+2xy
=> (x+y)² = 9+2(8)
=> (x+y)² = 9+16 = 25
=> (x+y)² = 25
=> (x+y) = √25 = +5 or -5
hope this helps
Answered by
2
x^2+y^2=9
(x+y)^2-2xy=9
(x+y)^2=9+16=25
x+y=5
(x+y)^2-2xy=9
(x+y)^2=9+16=25
x+y=5
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