Answer :

Given:

taking LCM



cross multiplying


x2 + 1 = 3x


x2 – 3x + 1 = 0


Comparing with standard quadratic equation ax2 + bx + c = 0


a = 1, b = – 3, c = 1


Discriminant D = b2 – 4ac


= (– 3)2 – 4.1.1


= 9 – 4 = 5 >


Hence the roots of equation are real.


√D = √5


Roots α and β are given by





Hence the roots of equation are


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