If the quadratic equation x ^{ 2 } – 2x + k = 0 has equal roots, then value of k is ______.
Last updated at Oct. 24, 2019 by Teachoo
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
CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
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