If \(f(x) = 3x^2 - tx + 5\) is tangents to \(x\)-axis, what is the value of a positive number \(t?\)

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If \(f(x) = 3x^2 - tx + 5\) is tangents to \(x\)-axis, what is the value of a positive number \(t?\)

A. \(2\sqrt{15}\)
B. \(4\sqrt{15}\)
C. \(3\sqrt{13}\)
D. \(4\sqrt{13}\)
E. \(6\sqrt{15}\)

Answer: A

Source: GMAT Paper Tests
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