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

Answer 1

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