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प्रश्न
Solve: `|(7,4,11),(-3,5,x),(-x,3,1)|` = 0
उत्तर
`|(7,4,11),(-3,5,x),(-x,3,1)|` = 0
∴ `7 |(5,x),(3,1)| - 4|(-3,x),(-x,1)| + 11|(-3,5),(-x,3)|` = 0
7(5 – 3x) – 4(-3 + x2) + 11(-9 + 5x) = 0
35 – 21x + 12 – 4x2 – 99 + 55x = 0
- 4x2 – 21x + 55x + 35 + 12 – 99 = 0
- 4x2 + 34x – 52 = 0
| 2 × 26 = 52 | |
| -13 | - 4 |
| `(- 13)/2` | `(-4)/2` |
Divide throughout by -2 we get
2x2 – 17x + 26 = 0
(2x – 13) (x – 2) = 0
2x – 13 = 0 (or) x – 2 = 0
x = `13/2` (or) x = 2
∴ x = `13/2`, x = 2
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