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Class 10 • Mathematics

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If quadratic equation 2x² - 8x + k = 0 has equal roots, what is the value of k?

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8
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Equal roots ⇒ Discriminant D = b² - 4ac = 0. (-8)² - 4(2)(k) = 0 ⇒ 64 - 8k = 0 ⇒ k = 8.

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