Question

If |232 xxx 491|+3=0 find x

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{\left|\begin{array}{ccc}2&3&2\\x&x&x\\4&9&1\end{array}\right|+3=0}$

$\underline{\textbf{To find:}}$

$\textsf{The value of x}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{\left|\begin{array}{ccc}2&3&2\\x&x&x\\4&9&1\end{array}\right|+3=0}$

$\mathsf{\left|\begin{array}{ccc}2&3&2\\x&x&x\\4&9&1\end{array}\right|=-3}$

$\textsf{Taking x common from second row, we get}$

$\mathsf{x\left|\begin{array}{ccc}2&3&2\\1&1&1\\4&9&1\end{array}\right|=-3}$

$\textsf{Expanding along first row,}$

$\mathsf{x[2(1-9)-3(1-4)+2(9-4)]=-3}$

$\mathsf{x[2(-8)-3(-3)+2(5)]=-3}$

$\mathsf{x[-16+9+10]=-3}$

$\mathsf{x[3]=-3}$

$\mathsf{x=\dfrac{-3}{3}}$

$\implies\boxed{\mathsf{x=-1}}$

$\underline{\textbf{Find more:}}$

1.Prove that:det(x+y x x, 5x+4y 4x 2x, 10x+8y 8x 3x ) =x^3

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2.The sum of the real roots of the equation | x 6 1 |

| 2 3x (x - 3)| = 0 | 3 2x (x = 2)|

is equal to (A) -4 (B) 0

(C) 6 (D) 1

https://brainly.in/question/16074720