Question
If x^2 - 7x + k = 0 has roots that are equal, what is
the value of k?Solution
For equal roots, the discriminant must be zero: b^2 - 4ac = 0 → (-7)^2 - 4(1)(k) = 0 49 - 4k = 0 4k = 49 k = 49/4 = 12.25.
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