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CBSE Class 10 Answered

For what value of k the equation 9x^2 +3kx +4 =0 have equal roots
Asked by Naimushsaini250 | 31 Jan, 2019, 07:51: PM
answered-by-expert Expert Answer
quadratic equation,  ax2 + bx + c = 0 has equal roots if (b2 - 4ac) = 0
 
Hence in quadratic equation, 9x2 + 3kx +4 = 0 has equal roots if [ (3k)2 - 4×9×4 ] = 0
 
hence 9k2 = 144   or  k2 = 16   or  k = ±4
Answered by Thiyagarajan K | 31 Jan, 2019, 08:13: PM
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