If x+y=9 and nyall, find the value of x²+y² .
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Given, x+y=9 and xy=16.
We know, (a+b)
2
=a
2
+2ab+b
2
.
Then,
(x+y)²=x²+2xy+y²
⟹ (9)²=x²+2(16)+y²
⟹ 81=x²+32+y²
⟹ x²+y²=81−32=49.
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