Q. 2 C4.2( 5 Votes )

Find the root of

Answer :

Let us solve the above equation by equating it to zero,



x2 + 1 = 3x


x2 – 3x + 1 = 0


When we compare the above quadratic equation with the generalized one we get,


ax2 + bx + c = 0


a = 1


b = -3


c = 1


There is one formula developed by Shridharacharya to determine the roots of a quadratic equation which is as follows:



Before putting the values in the formula let us check the nature of roots by b2 – 4ac >0


(-3)2 – (4 × 1 × 1)


9 – 4


5


Since b2 – 4ac = 5 the roots are real and distinct.


Now let us put the values in the above formula





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