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Question

If a2+b2=10 and ab=3; find :

(i) a -b  (ii) a + b


Solution

(i) (ab)2=a2+b22ab(ab)2=102×3(ab)2=106(ab)2=4(ab)=4ab=2.

(ii) (a+b)2=a2+b2+2ab(a+b)2=10+2×3(a+b)2=10+6(a+b)2=16(a+b)=16(a+b)=4.

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