Explanation:
3x² + kx − 28 = 0
(a) One of the roots is -2⅓ = -7/3. So the value of k is:
3(-7/3)² + k(-7/3) − 28 = 0
49/3 − 7/3 k − 28 = 0
49/3 − 28 = 7/3 k
49 − 84 = 7k
k = -5
(b) 3x² − 5x − 28 = 0
(3x + 7) (x − 4) = 0
x = -7/3 or 4
Answer:
the value is -5 and the root is 4
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