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Question
Select the correct option from the given alternatives:
If x = –9 is a root of `|(x, 3, 7),(2, x, 2),(7, 6, x)|` = 0 has other two roots are
Options
2, –7
–2, 7
2, 7
-2, –7
Solution
2, 7
Explanation:
`|(x, 3, 7),(2, x, 2),(7, 6, x)|` = 0
∴ x3 – 67x + 126 = 0
∴ (x + 9)(x2 – 9x + 14) = 0
∴ (x + 9)(x – 2)(x – 7) = 0
∴ x = – 9, x = 2, x = 7
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