a+b=1 a*b=-1
(a+b)²=1²
a²+2ab+b²=1
a²+2*(-1)+b²=1
a²-2+b²=1
a²+b²=3.
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Verified answer
a+b=1 a*b=-1
(a+b)²=1²
a²+2ab+b²=1
a²+2*(-1)+b²=1
a²-2+b²=1
a²+b²=3.