If x-1 and 3x-8 3 3 3 3x-8 3 3 3 3x-8 -0 then x-

The correct option is A 2/3 3x 8 amp; 3 amp; 3 3 amp; 3x 8 amp; 3 3 amp; 3 amp; 3x 8 r_1 → r_1 r_2 and r_3 → r_3 r_2 ...

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Byju's Answer

Standard X

Mathematics

Determinant

If x<1 and ...

Question

If x<1 and $∣ ∣ ∣ ∣ \begin{matrix} 3 x - 8 & 3 & 3 3 & 3 x - 8 & 3 3 & 3 & 3 x - 8 \end{matrix} ∣ ∣ ∣ ∣$ =0 then x=......

2/3

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-2/3

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Solution

The correct option is A 2/3
$∣ ∣ ∣ ∣ \begin{matrix} 3 x - 8 & 3 & 3 3 & 3 x - 8 & 3 3 & 3 & 3 x - 8 \end{matrix} ∣ ∣ ∣ ∣$

$r_{1} \to r_{1} - r_{2}$ and $r_{3} \to r_{3} - r_{2}$

$\Rightarrow ∣ ∣ ∣ ∣ \begin{matrix} 3 x - 11 & 11 - 3 x & 0 3 & 3 x - 8 & 3 0 & 11 - 3 x & 3 x - 11 \end{matrix} ∣ ∣ ∣ ∣$

$\Rightarrow (11 - 3 x) ∣ ∣ ∣ ∣ \begin{matrix} - 1 & 1 & 0 3 & 3 x - 8 & 3 0 & 1 & - 1 \end{matrix} ∣ ∣ ∣ ∣$

$\Rightarrow (11 - 3 x) [- 1 (- 3 x + 8 - 3) - 1 (- 3)]$
$\Rightarrow (11 - 3 x) [3 x - 5 + 3]$
$\Rightarrow (3 x - 2) (11 - 3 x)$
So, $x = 2 / 3, 11 / 3$
As $x < 1$ ,
So, $x = 2 / 3$

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Q. One root of the equation

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is which of the following?

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(iii)

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(v)

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Q. (a) x

^{4}

\frac{8}{9}

^{2}

+1 = 3x

^{3}

+3x.
(b) (x

^{4}

+ 1) - 4x (x

^{2}

+1) - 3x

^{2}

= 0.

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If x<1 and ∣∣ ∣∣3x−83333x−83333x−8∣∣ ∣∣ =0 then x=......

If x<1 and $∣ ∣ ∣ ∣ \begin{matrix} 3 x - 8 & 3 & 3 3 & 3 x - 8 & 3 3 & 3 & 3 x - 8 \end{matrix} ∣ ∣ ∣ ∣$ =0 then x=......