If a2 + b2 = 41 and ab =4 , find :
a-b

We havea2+b2=41   and   ab=4We know that:a-b2=a2+b2-2aba-b2=41-24=41-8=33Taking square root on both sides, we geta-b=±33=±5.74.

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a2 + b2 = 41 and ab = 4
or,(a-b)2 = a2 + b2 -2ab
or,(a-b)2 =  41 -2*4
or,(a-b)2 = 41 -8
or, (a-b)2 = 33
or, a-b = 5.74
 
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