x+y=8,x-y=10 find x^2+y^2 and xy
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X²+Y²=82
X²+Y²=82 AND XY=-9
Step-by-step explanation:
X+Y=8. eq1
X-Y=10. eq2
SUBTRACT eq2 from eq 1
Hence
X+Y-(X-Y)=19
2X=18
X=9 and Y=-1
Now X²+Y²=(9)²+(-1)²=82
And XY=9x(-1)=-9
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