charesteinhauer
charesteinhauer charesteinhauer
  • 31-07-2020
  • Mathematics
contestada

PLEASE HELP QUICK! Determine x value of: sqrt x + 8 - sqrt x - 4 = 2

Respuesta :

ethanhuang0808
ethanhuang0808 ethanhuang0808
  • 31-07-2020

Answer:

x=8

Step-by-step explanation:

[tex]\sqrt{x+8}-\sqrt{x-4}=2\\\sqrt{x+8}=2+\sqrt{x-4}\\\left(\sqrt{x+8}\right)^2=\left(2+\sqrt{x-4}\right)^2\\x+8=x+4\sqrt{x-4}\\8=4\sqrt{x-4}\\8^2=\left(4\sqrt{x-4}\right)^2\\64=16x-64\\x=8[/tex]

Answer Link

Otras preguntas

what is 3/18 written in simplest form
What are the opposites of 7, -3.5, 2.25, and 9 1/3
What are some facts about ocean ecosystems?
90 is decreased to 75
Isaac and hailey set a wooden sailboat in a big puddle after a rainstorm. they sat on opposite sides of the boat, and on the count of three, they each began to
What is the smallest living bacteria
The neurons that transmit the signal to your foot to kick a soccer ball are called 1. reflexes 2. motor neurons 3. sensory neurons 4. interneurons
Solve for x. 7(x - 3) = 4(x 5) x = x = x = x = user: which of the following is the solution set of the given equation? (x - 3) - 2(x 6) = -5 {-10} {-4} {8}
Who has the highest military authority in the United States? I'm thinking the president, but I want to make sure.
100 POINTS ANSWER FAST Which ordered pair is the solution to the system of equations? {x−4y=6 3x+y=−8 A.(−2, −2) B. (2, −1) C. (1, −9) D. (−6, −3)