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Question
If x = 3 is a solution of the equation 3x2 + (k – 1)x + 9 = 0 then k = ?
Options
11
–11
13
–13
MCQ
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Solution
–11
Explanation:
It is given that x = 3 is a solution of 3x2 + (k – 1)x + 9 = 0; therefore, we have:
3(3)2 + (k – 1) × 3 + 9 = 0
⇒ 27 + 3(k – 1) + 9 = 0
⇒ 3(k – 1) = –36
⇒ (k – 1) = –12
⇒ k = –11
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