If a2 + b2 = 13 and ab = 6, find

If a2 + b2 = 13 and ab = 6, find

(i) a + b

(ii) a – b

Answer :

(i) We know that

(a + b)2 = a2 + b2 + 2ab

Substituting the values

= 13 + 2 × 6

So we get

= 13 + 12

= 25

Here

a + b = ± √25 = ± 5

(ii) We know that

(a – b)2 = a2 + b2 – 2ab

Substituting the values

= 13 – 2 × 6

So we get

= 13 – 12

= 1

Here

a – b = ± √1 = ± 1

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