Question

resolva as equações

B) |2 3 -2|
|0 1 X | = 2
|2 X -3|

C) |X+1 3 X |
| 3 X 1 | = 0
|X 2 X-1 |



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Answer 1

Resposta:

a) $X_{1} =1 ,X_{2} =2$   b) $X=2,3=\frac{7}{3}$

Explicação passo a passo:

$\left[\begin{array}{ccc}2&3&-2\\0&1&x\\2&x&-3\end{array}\right] =2$

Resolva as determinante usando a expansão de Laplace na linha 2

$-0*\left[\begin{array}{ccc}3&-2&\\x&-3\end{array}\right]+1*\left[\begin{array}{ccc}2&-2&\\2&-3\end{array}\right] -x*\left[\begin{array}{ccc}2&3&\\2&x\end{array}\right] =2$

$0-2-x*(2x-6)=2\\-2-2x^{2} +6x=2\\-2-2x^{2} +6x-2=0\\-4-2x^{2} +6x=0\\-2x^{2} +6x-4=0\\x^{2} -3x+2=0\\x^{2} -x-2x+2=0\\x*(x-1)-2x+2=0\\x*(x-)-2(x-1)=0\\(x-1)*(x-2)=0\\\\x-1=0\\\\x-2=0\\\\x_{1} =1\\x_{2} =2$

Se vc quiser que eu faça a questão "B" do 0 e só comentar que edito.