For what value(s) of k does the pair of equations y = x2 and y = 3x + k have two identical solutions?
Explanation:
y = x2 and y = 3x + k
∴ x2 = 3x + k
∴ x2 – 3x – k = 0
This has two identical
Solutions when the discriminant of the equation is 0. ∴ (−3)2 – 4(–k) = 0 ∴ 9 + 4k = 0 ∴ k = -9/4
Hence, option (c).
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