Answer :

x + y = 12


y = 12-x …Equation (i)


xy = 32


Putting the value of y from above Equation (i) we get


x(12-x) = 32


12x-x2 = 32


x2-12x + 32 = 0


Solving the above equation by the method of factorization we get


x2-8x-4x + 12 = 0


x(x-8)-4(x-8) = 0


(x-4)(x-8) = 0


x = 4,8


When x = 4, y = 8


x2 + y = 24


When x = 8, y = 4


x2 + y = 68


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