Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2×2 – 7x +3 = 0 (ii) 2×2 + x – 4 = 0

Solutions:

Dividing by 2 on both sides, we get

On adding (7/4)² to both sides of equation, we get

 

Dividing both sides of the equation by 2, we get

Now on adding (1/4)² to both sides of the equation, we get,

Therefore, either