Adv
AnilSinghBora
  • 0
Guru

Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2×2 – 7x +3 = 0 Q.1(1)

  • 0

How i find the roots of quadratic equation by completing the square method, because it is very important question of class10th math. I want the solution of this question, please help me for this solution Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2×2 – 7x +3 = 0

Share

1 Answer

  1. ⇒ 2x2 – 7= – 3

    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

    ⇒ (x-7/4)2 = (49/16) – (3/2)

    ⇒(x-7/4)2 = 25/16

    ⇒(x-7/4)2 = ±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 x = 1/2

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions