Torie00 Torie00
  • 02-07-2022
  • Mathematics
contestada

The square of the difference between a number and 7 is 81 . Find the​ number(s).

Respuesta :

Leora03
Leora03 Leora03
  • 02-07-2022

Answer:

16 or -2

Step-by-step explanation:

Let the number be x.

Difference between the number and 7

= x -7 or 7-x

The square of the difference between x and 7

= (x -7)²

(x -7)²= 81

Square root both sides:

[tex]x - 7= \pm \sqrt{81} [/tex]

[tex]x - 7 = \pm9[/tex]

Add 7 to both sides:

[tex]x = 7\pm9[/tex]

x= 16 or x= -2

Thus, the number could either be 16 or -2.

Answer Link

Otras preguntas

Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
A zoo with a total area of 982.31 acres is home to a variety of animals. If 964.36 acres have been reserved for animals, determine the area cleared for horticu
For the strand of DNA listed below. write out the matching RNA strand. GTAGCGTACAGCIGACGA ACGTGCATTGC GAC G
please urgent please help
Andrew’s company uses a special email program for communicating within the organization. What should the company do to ensure that its employees are able to acc
laicifitra I need the true words​
h(x) = x2 + 4x?; Find 1(-6)
PLEASE HELP!!!!!!!!!!!!
What happens if you drink too much water?
Part B Which evidence from the text best supports the answer to Part A? "Solar panels do not give off harmful gases. They do not produce toxic chemicals. So pol