Find the values of k in the equation 6k2 = 5k + 6
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A.
{(frac{-2}{3}, frac{-3}{2})} -
B.
{(frac{-2}{3}, frac{3}{2})} -
C.
{(frac{2}{3}, frac{-3}{2})} -
D.
{(frac{2}{3}, frac{3}{2})}
Correct Answer: Option B
Explanation
6k2 = 5k + 6
6k2 – 5k – 6 = 0
6k2 – 0k + 4k – 6 = 0
3k(2k – 3) + 2(2k – 3) = 0
(3k + 2)(2k – 3) = 0
3k + 2 = 0 or 2k – 3 = 0
3k = -2 or 2k = 3
k = (frac{-2}{3}) or k = (frac{3}{2})
k = ((frac{-2}{3}), k = (frac{3}{2}))