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

What is 2x^2-10 in vertex form
what is student responsibility to maintain healthy environment
look at the triangle on the coordinate grid. If it were moved so that it's bottom right vertex was coordinate (9,4), what would it's other coordinates be? pls h
Which class includes an unsaturated hydrocarbon with a ring structure?
When listening to someone, verbal clues will help you understand what kinds of meaning? ______ ______ ______
What is the main aim of sarva siksha abhiyan
A certain stock starts the day at 27 3/8 per share if it drops 2 1/2 during the day what is its closing value
18. A stock character is one that's
What is the main source of potential energy needed for cellular metabolism
Why is life so difficult? Does anyone else just have problems getting out of bed, and they're all just because of one person. One person saying they would laugh