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

Erin received the following scores on her last four spelling tests. 21/25, 82%, 0.8, 17/20 Which of these is Erin's highest score?
Ann has been diagnosed with hypertension and is now worried about her health. Which exercise option would most benefit her?
The local video store charges a monthly membership fee of $5 and $2.25 per video, write this as a algebraic expression
The combination of chemical reactions through which an organism builds up or breaks down materials
From the given symptoms, which endocrine system disorder does the patient have? Sean has been experiencing lack of sleep. His physician confirmed that he had a
what is the value of the 1 in 178
Simplify 8(7x – 1) + 4(x + 5).
How do you compare whole numbers through the millions
Why are poor decisions made?
The communists triumphed over what forces