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If [2x3][12-30][x8] = 0, find the valof x. - Mathematics

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Question

If `[(2x, 3)] [(1, 2),(-3, 0)] [(x),(8)]` = 0, find the valof x.

Sum
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Solution

We have `[(2x, 3)] [(1, 2),(-3, 0)] [(x),(8)]` = 0

⇒ `[(2x - 9, 4x)] [(x),(8)] = [0]`

or

`[(2x^2 - 9x, + 32x)] = [0]`

⇒ `2x^2 + 23x` = 0

or

`x(2x + 23)` = 0

⇒ x = 0, x = `(-23)/2`

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Chapter 3: Matrices - Solved Examples [Page 47]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 3 Matrices
Solved Examples | Q 4 | Page 47
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