halasiblani
halasiblani halasiblani
  • 16-10-2020
  • Mathematics
contestada

20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c​

Respuesta :

vaughnjustin649
vaughnjustin649 vaughnjustin649
  • 16-10-2020

Answer:

[tex]x (-1,7)[/tex]

Step-by-step explanation:

We need to square a binomial.

The following rule is applied:

[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]

In our example,

[tex]A^2+2AB+B^2=(A+B)^2[/tex]

   A is equal to 5x,

    B is equal to -19 and

   N is equal to 2.

[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]

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