Respuesta :

Answer:

  • 1. E)
  • 2. C)

Step-by-step explanation:

1.

Step E)

The mistake is:

  • 2x - 5 on the numerator

Correct way is:

  • 3 - (2x - 8) =
  • 3 - 2x + 8 =
  • 11 - 2x

2.

Step C)

The mistake is:

  • 5x = x² + 4  

Correct way is:

  • 5x =  (x+2)²
  • 5x = x² + 4x + 4

Answer:

First picture the step E is incorrect because:

[tex]\frac{3}{(x+4)(x-4)} -\frac{2x-8}{(x+4)(x-4)}[/tex]

[tex]=\frac{-2x-5}{(x+4)(x-4)}[/tex]

Instead you should change the step E to be: [tex]\frac{-2x-5}{(x+4)(x-4)}[/tex]

Second picture the step C is incorrect because:

[tex](\sqrt{5x})^{2}[/tex] =[tex](x+2)^{2}[/tex]

[tex]5x = x^{2} +4x+4[/tex]

[tex]not[/tex] [tex]5x=x^{2} +4[/tex]

Instead you should change the step C to be: [tex]5x = x^{2} +4x+4[/tex]

Change step D to:

[tex]5x -x^{2} -4x -4=0[/tex]  

Change step E to:

[tex]x^{2}-x+4=0[/tex]

Change step F to:  

[tex]x=\frac{1+-\sqrt{1-16} }{2}[/tex]

x∉R

   

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