Question

4. ITU +
5. If a - b = 7 and ab = 8, evaluate (i) a² + b2 and (ii) a +b.

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Answer 1

Answer:

(a-b)² = a²+b²-2ab

7² = a²+b² -2(8)

a²+b² = 49+16

a²+b² = 65

(a+b)² = a²+b²+2ab

(a+b)² = 65 + 2(8)

(a+b)² = 65+16

(a+b)² = 81

a+b = ✓81 = 9

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