If a+b= 5 and ab= 6 than a to the power 2+b to the power 2
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a+b=5...(1)
ab=6....(2)
from eq.(1)
a=5-b....(3)
substitute this value in eq.(2)
(5-b)b=6
b^2-5b-6=0
b^2-3b-2b-6=9
b(b-3)-2(b-3)
(b-3) and (b-2)
b=3 and b=2
if b=3 then a=2
if b=2 then a=3
now, a^2+b^2=3^2+2^2
9+4=13
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