Find the root of

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