If x + y2 = 37 and xy = 6; find :
(1) xty
(ii) x - y(iii) - y2
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Step-by-step explanation:
actual qn is :
If x²+y=37 and xy=6 find
1 .x+y
2. x-y
3. x²-y²
*********************
x²+y²=37, xy=6,
(i) x²+y²+2xy=37+2xy
(x+y)²=37+2*6
(x+y)²=49
x+y= ±7
**************
(ii) (x-y)²=x²+y²-2xy
=37-2*6
=37-12=25
x-y=±5
(iii) x²-y²
=(x+y) (x+y)
=5*7=35
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