Question 6 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

For what values of k, the equation 9x ² + 6kx + 4 = 0 has equal roots?

For what values of k, the equation 9x^2 + 6kx + 4 = 0 has equal roots?

Transcript

Question 6 For what values of k, the equation 9x2 + 6kx + 4 = 0 has equal roots?Given equation 9x2 + 6kx + 4 = 0 Since it has equal roots D = 0 b2 − 4ac = 0 Putting a = 9, b = 6k, c = 4 (6k)2 − 4(9)(4) = 0 36k2 = 4 × 9 × 4 k2 = (4 × 9 × 4)/36 k2 = 4 k = ± 2 Thus, k = 2, −2

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