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

If the quadratic equation x^2 – 2x + k = 0 has equal roots, then value

Question 12 (OR 2nd question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic - Part 2

Remove Ads
Teachoo · Class 10 Explore Class 10

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.