Misc 6 - Find x, if [x  -5  -1] [1 0 2 0 2 1 2 0 3] - Miscellaneous - Miscellaneous

part 2 - Misc 6 - Miscellaneous - Serial order wise - Chapter 3 Class 12 Matrices

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Misc 6 Find x, if [x -5 -1] [ā– 8(1&0&2@0&2&1@2&0&3)] [ā– 8(š‘„@4@1)] = O 怖"[x āˆ’5 āˆ’1]" 怗_(1Ɨ3) [ā– 8(1&0&2@0&2&1@2&0&3)]_(3Ɨ3) [ā– 8(š‘„@4@1)]_(3Ɨ1) = O 怖"[x(1) + (āˆ’5) (0) + (–1)(2) x(0) +(– 5) (2) + (āˆ’1)0 x(2) + (– 5)(1) + (āˆ’1)(3)]" 怗_(1Ɨ3) [ā– 8(š‘„@4@1)] = O 怖"[x + 0 – 2 0 – 10 + 0 2x – 5 āˆ’ 3]" 怗_(1Ɨ3) [ā– 8(š‘„@4@1)]_(3Ɨ1)= O 怖"[x – 2 – 10 2x – 8]" 怗_(1Ɨ3) [ā– 8(š‘„@4@1)]_(3Ɨ1) = O 怖"[(x – 2)(x) + (āˆ’10) (4) + (2x āˆ’ 8) (1)]" 怗_(1Ɨ1) = O (x– 2)x – 10 (4) + 2x – 8 (1) = 0 x2 – 2x – 40 + 2x – 8 = 0 x2 + 0 – 48 = 0 x2 – 48 = 0 x2 = 48 x = ±√48 x = ±√(4 Ɨ 4 Ɨ 3) x = ± 4√3 Hence, x = ± 4āˆššŸ‘

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