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Find x, if [x,-5,-1][102021203][x41]=O - Mathematics

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Question

Find x, if `[x, -5, -1][(1,0,2),(0,2,1),(2,0,3)][(x),(4),(1)] = O`

Sum

Solution

`[x -5 -1][(1,0,2), (0,2,1), (2,0,3)][(x),(4),(1)] = [0]`

∴ `[x -5 -1][(x + 0 + 2), (0 + 8 + 1), (2x + 0 + 3)] = [0]`

⇒ [x -5 -1]`[(x + 2), (9), (2x + 3)] = [0]`

⇒ [x(x + 2) - 45 - (2x + 3)] = 0

⇒ x2 + 2x - 45 - (2x + 3) = 0

⇒ x2 + 2x - 45 - 2x - 3 = 0

⇒ x2 - 48 = 0

⇒ x2 = 48

⇒ x = ±`sqrt48`

`= 4sqrt3`

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Chapter 3: Matrices - Exercise 3.5 [Page 100]

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NCERT Mathematics [English] Class 12
Chapter 3 Matrices
Exercise 3.5 | Q 9 | Page 100

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