if a+b=7 and ab=10,find the value of a²+b²
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2
Answer:
a+b=7
b=7-a
ab=10
a(7-a)=10
a^2-7a+10=0
a^2-5a-2a+10=0
a(a-5)-2(a-5)=0
a=5or2
so b=2or5
a^2+b^2=(5)^2+(2)^2=25+4
=29
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27
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