Question

Find the roots of the following quadratic equations, if they exist by the method of completing the square:

5x² – 6x – 2 = 0

Answer 1

5x² – 6x – 2 = 0

Dividing by 5

x² - 6x/5 - 2/5 = 0

We know

(a – b)² = a² – 2ab + b²

Here, a = x and –2ab = -6x/5

–2xb = -6x/5(∵ a =x)

–2b = -6/5