Solve the following equation by factorization method:

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

x² - 1 = 3x

x² – 3x - 1 = 0

These problems cannot be solved by normal factorization as it do not contain normal factors.

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

⟹ 13

Since b² – 4ac = 13 the roots are real and distinct.

Now let us put the values in the above formula