If the quadratic equation x 2 – 2x + k = 0 has equal roots, then value of k is ______.

Slide17.JPG

Slide18.JPG

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 12 (OR 2nd question) If the quadratic equation x2 – 2x + k = 0 has equal roots, then value of k is ______. x2 – 2x + k = 0 Comparing equation with ax2 + bx + c = 0 a = 1, b = –2, c = k Since the equation has 2 equal roots, D = 0 b2 – 4ac = 0 Putting values (–2)2 – 4 × 1 × k = 0 4 – 4k = 0 4 = 4k 4k = 4 k = 4/4 k = 1

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.