Ex 4.3, 2 (i) - Chapter 4 Class 10 Quadratic Equations

Last updated at April 16, 2024 by Teachoo

Transcript

Ex 4.3, 2
Find the values of k for each of the following quadratic equations, so that they have two equal roots.
(i) 2x2 + kx + 3 = 0
2x2 + kx + 3 = 0
Comparing equation with ax2 + bx + c = 0
a = 2, b = k, c = 3
Since the equation has 2 equal roots,
D = 0
b2 – 4ac = 0
Putting values
k2 – 4×𝟐×𝟑=𝟎
k2 – 24 = 0
k2 = 24
k = ±√𝟐𝟒
k = ± √(6 ×4)
k = ± √6 × √4
k = ± √6 × √(2^2 )
k = ± √6 × 2
k = ± 2√𝟔

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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