Question
The difference between two numbers is 6, and their
product is 5. What is the sum of the squares of these two numbers?Solution
Let the two numbers be 'P' and 'Q', such that P > Q.
ATQ,
P X Q = 5
And, P - Q = 6
(P - Q)2 = 62
Or, P2 + Q2 - 2PQ = 36
Or, P2 + Q2 - 2 X 5 = 36
So, P2 + Q2 = 36 + 10 = 46
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