Answer :

x + y = 7


y = 7-x …Equation (i)


xy = 12


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


x(7-x) = 12


7x-x2 = 12


x2-7x + 12 = 0


Solving the above equation by the method of factorization we get


x2-4x-3x + 12 = 0


x(x-4)-3(x-4) = 0


(x-4)(x-3) = 0


x = 4,3


When x = 4, y = 3


x2 + y = 19


When x = 3, y = 4


x2 + y = 13


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