Question

Find the roots of the following quadratic equations (if they exist) by the method of completing the square.

2x² + x + 4 = 0

Answer 1

We have been given that,

Now divide throughout by 2. We get,

Now take the constant term to the RHS and we get

Now add square of half of co-efficient of ‘x’ on both the sides. We have,

Since RHS is a negative number, therefore the roots of the equation do not exist as the square of a number cannot be negative.

Therefore the roots of the equation do not exist.