Seudónimo Seudónimo
  • 23-12-2020
  • Mathematics
contestada

Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-12-2020

9514 1404 393

Answer:

  x = -6 or 6

Step-by-step explanation:

The square root is always positive, so the equation simplifies to ...

  [tex]\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}[/tex]

_____

The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.

Ver imagen sqdancefan
Answer Link

Otras preguntas

How do you think the world was created?
Rio grande river separates what Texas city from Mexico starts with E
Pyrenees mountains border Spain and this European country starts with F
What is a major city in Alaska that starts with F
Pyrenees mountains border Spain and this European country starts with F
Water on each side of a divide flows in...
What is 36 percent as a decimal?
How do you think the world was created?
Water on each side of a divide flows in...
How do you tell if an equation is linear or not????