guapchasinjojo1
guapchasinjojo1 guapchasinjojo1
  • 21-05-2021
  • Mathematics
contestada

True or false: The equation below is too complicated to use the "isolate the
radical, then square both sides" method to simplify.

True or false The equation below is too complicated to use the isolate the radical then square both sides method to simplify class=

Respuesta :

jimthompson5910 jimthompson5910
  • 21-05-2021

Answer: False

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Explanation:

The radical is one step away from being fully isolated. We would apply the rule that [tex]\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}[/tex]

In this case,

[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}[/tex]

Meaning that the equation

[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} =3[/tex]

is the same as

[tex]\sqrt{\frac{x+3}{x-1}} = 3[/tex]

From here, we square both sides and use algebra to isolate x.

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