Question

O valor de X no determinante 1 2 x
3 1 0
0 1 2​

Answer 1

Resposta:

$\begin{array}{|ccc|cc|} 1 & 2 & \sf x & 1 & 2 \\ 3 & 1 & 0 & 3 & 1 \\ 0 & 1 & 2 & 0 & 1 \\\end{array} = 8$

$\sf 1 \cdot 1 \cdot 2+2\cdot 0\cdot 0+ x\cdot 3\cdot 1 - 0 \cdot 1\cdot x-1\cdot 0\cdot 1-2\cdot 3\cdot 2 = 8$

$\sf 3x - 10 = 8$

$\sf 3x = 8 + 10$

$\sf 3x = 18$

$\sf x = \dfrac{18}{3}$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle x = 6 }}} \quad \gets \mathbf{ Resposta }$

Explicação passo-a-passo: