Question

1. Find the roots of the following quadratic equations, if they exist, by the method of
completing the square:
(i) 2x2 - 7x + 3 = 0
(ii) 2x2 + x - 4 = 0
(iii) 4x2 +4 3x + 3 = 0
(iv) 2x2 + x + 4 = 0​

Answer 1

Answer:

– 3

On dividing by 2 on both sides, we get

⇒ x2 -7x/2 = -3/2

⇒ x2 -2 × x ×7/4 = -3/2

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

⇒ (x)2-2×x×7/4 +(7/4)2 = (7/4)2-3/2

⇒