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Question

Tick (✓) the correct answer:
If (a − b) = 7 and ab = 9, then (a2 + b2) = ?
(a) 67
(b) 31
(c) 40
(d) 58

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Solution

(a) 67

a-b =7Squaring both the sides:a-b2 = 72a2+ b2 -2ab = 49a2+ b2 = 49+2aba2+ b2 = 49 +29a2+ b2 = 49+18a2+ b2 = 67

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