pnathaniel282 pnathaniel282
  • 10-06-2022
  • Mathematics
contestada

Solve the equation. Round answers to the nearest tenth when necessary.
(x-4)^2=24

A. -0.9, -8.9
B. -0.9, 8.9
C. 0.9, 8.9
D. 0.9, -8.9

Respuesta :

ahheuchert
ahheuchert ahheuchert
  • 10-06-2022
x = 2V6 + 4 or x =-2V6 + 4
Answer Link
sqdancefan
sqdancefan sqdancefan
  • 10-06-2022

Answer:

  B.  -0.9, 8.9

Step-by-step explanation:

The value(s) of the variable can be found by undoing the operations done to it.

__

Undo the square by taking the square root:

  x -4 = ±√24 = ±2√6

Undo the subtraction by adding 4:

  x = 4 ±2√6 ≈ {-0.8990, 8.8990} . . . keep enough digits to round correctly

The approximate solutions are ...

  -0.9, 8.9

Answer Link

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