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प्रश्न
Find the value of k so that the quadratic equation x2 – 4kx + k = 0 has equal roots.
बेरीज
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उत्तर
It is given that the quadratic equation x2 – 4kx + k = 0 has equal roots.
∴ D = 0
⇒ (–4k)2 – 4 × 1 × k = 0
⇒ 16k2 – 4k = 0
⇒ 4k(4k – 1) = 0
⇒ k = 0 or 4k – 1 = 0
⇒ k = 0 or `k = 1/4`
Hence, 0 and `1/4` are the required values of k.
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