text: # RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.5
  
  ## RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.5
  
  ### RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.5
  
  Question 1.
  Write the discriminant of the following quadratic equations :
  (i) 2x² – 5x + 3 = 0
  (ii) x² + 2x + 4 = 0
  (iii) (x – 1) (2x – 1) = 0
  (iv) x² – 2x + k = 0, k ∈ R
  (v) √3 x² + 2√2 x – 2√3 = 0
  (vi) x² – x + 1 = 0
  Solution:
  
  Question 2.
  In the following, determine whether the given quadratic equations have real roots and if so, And the roots :
  (i) 16x² = 24x + 1
  (ii) x² + x + 2 = 0
  (iii) √3 x² + 10x – 8√3 = 0
  (iv) 3x² – 2x + 2 = 0
  (v) 2x² – 2√6 x + 3 = 0
  (vi) 3a²x² + 8abx + 4b² = 0, a ≠ 0
  (vii) 3x² + 2√5 x – 5 = 0
  (viii) x² – 2x + 1 = 0
  (ix) 2x² + 5√3 x + 6 = 0
  (x) √2 x² + 7x + 5√2= 0 [NCERT]
  (xi) 2x² – 2√2 x + 1 = 0 [NCERT]
  (xii) 3x² – 5x + 2 = 0 [NCERT]
  Solution:
  
  Question 3.
  Solve for x :
  
  Solution:
  
  +
metadata: {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}