Question

. Separate 18 into two parts such that twice the sum of their squares is 5 times their product

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Answer 1

Answer:

Let the two parts be x and y respectively.

A.T.Q,

2(x+y)^2 = 5xy

2( x^2 + y^2 + 2xy) = 5xy

2x^2 + 2y^2 + 4xy = 5xy

2x^2 + 2y^2 = xy

x^2 + y^2 = xy/2