Question

find the root of the following quadratic equation if they exist by the method of completing the square 2 x square - 7 x + 3 equal to zero

Answer 1

Answer:

Step-by-step explanation:

(i) 2x2 – 7x + 3 = 0

⇒ 2x2 – 7x = - 3

On dividing both sides of the equation by 2, 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

⇒ (x - 7/4)2 = 49/16 - 3/2

⇒ (x - 7/4)2 = 25/16

⇒ (x - 7/4) = ± 5/4

⇒ x = 7/4 ± 5/4

⇒ x = 7/4 + 5/4 or x = 7/4 - 5/4

⇒ x = 12/4 or x = 2/4

⇒ x = 3 or 1/2