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a²b²+a²+b²+26=10a+10b (a+b-5)²+(ab-1)²=0 a+b=5 ab=1 (a+b)²==a² | Algebra Quint

a²b²+a²+b²+26=10a+10b
(a+b-5)²+(ab-1)²=0
a+b=5
ab=1
(a+b)²==a²+b²+2
a²+b²=23
a⁴+b⁴==23²-2=527