If a-b =7 and ab =8 evaluate i)a²+b² and ii)a+b – InterviewSolution

1.	If a-b =7 and ab =8 evaluate i)a²+b² and ii)a+b
Answer» TAKE the square of both equations.(a+b) ² =(8) ²a ² + b² + 2ab =64 (equation 1)(a-b) ² = (6)²a² + b² - 2ab = 36 (equation 2)Now ADD equation 1 with equation 2(a ² + b² + 2ab) + (a² + b² - 2ab) = 64 + 362a² + 2b² = 1002(a² + b²) = 100a² + b² = 50

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