Question

If the difference between two numbers is 7 and their product is 137 what is the sum of squares if the numbers?

Answer 1

323

Explanation:

a-b= 7

ab= 137

a²+b²= ?

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Since (a-b)²= a²-2ab +b²

⇒ a²+b²= (a-b)² + 2ab= 7² + 2*137= 323