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

A cooler is filled with different juices. There are 24 bottles of juice: 6 orange juice, 4 apple juice, 2 cranberry juice, and 12 grape juice. Julie is choosing
Over the yawning chimney hangs the fog
What was James Watt’s contribution to the industrial movement? A.he built the first railroad locomotive B.He designed a riverboat that traveled a distance of
if -2x+3=7 and 3x+1=5+y,the value of y is
What is 4 1/8 simplified to
An abnormal rhythm of the heart is called
Can you conclude that this parallelogram is a rectangle? Explain.
Hayden mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint. Write an equation that shows the relationship between the number of cups of b
Perform the indicated operation. 4/7x^2 - 3/2x^3
A scale drawing of a rectangular parking lot is shown. The width of the parking lot is smaller than the length. The width of the actual parking lot is 48 feet