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प्रश्न
Find the value of k for which the quadratic equation 9x2 − 3kx + k = 0 has equal roots.
बेरीज
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उत्तर
It is given that the quadratic equation 9x2 − 3kx + k = 0 has equal roots.
∴ D = 0
⇒ (−3k)2 − 4 × 9 × k = 0
⇒ 9k2 − 36k = 0
⇒ 9k(k − 4) = 0
⇒ k = 0 or k − 4 = 0
⇒ k = 0 or k = 4
Hence, 0 and 4 are the required values of k.
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