Question 60 Answer and Explanation _ACT June 2010 Form 68C Math Section

Question 60 Answer and Explanation _ACT June 2010 Form 68C Math Section

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60. Susan discovered by trial and error that one root of the equation 2x³ - 9x² + 16x - 12 = 0 is 2. What are the other roots?

F. $\frac{5}{4}\pm\frac{\sqrt{23}}{4}$

G. $\frac{5}{2}\pm\frac{\sqrt{23}}{2}$

H. $\frac{5}{2}\pm\frac{i\sqrt{23}}{2}$

J. $\frac{5}{4}\pm\frac{i\sqrt{23}}{4}$

K. $-\frac{5}{4}\pm\frac{i\sqrt{23}}{4}$

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation