Find the value of k for which the quadratic equation 2x^2-kx+k=0 has real and equal roots
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Answer:
Since the roots are real and equal, ∴ D = b
2 − 4ac = 0
⇒k
2 – 4×3×3 = 0 (∵ a = 3, b = k, c = 3)
⇒k
2 = 36
⇒k = 6 or −6
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