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Question
If the roots of the quadratic equation 2x2 + 8x + k = 0 are equal then find the value of k.
Sum
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Solution
It is given that the roots of the quadratic equation 2x2 + 8x + k = 0 are equal.
∴ D = 0
⇒ 82 – 4 × 2 × k = 0
⇒ 64 – 8k = 0
⇒ k = 8
Hence, the value of k is 8.
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