Question

If a+b= 9 and ab= 10, find the value of a ^2 + b^2

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Answer 1

Answer:

Given,a + b = 9 and ab = 10 Now, squaring a + b = 9 on both sides, we have ∴ (a+b)² = (9)²∴ a²+b²+2ab = 81∴ a²+b²+2× 10 = 81∴ a²+b²+20 = 81∴ a²+b² = 81−20 ∴ a²+b² = 61