snazzyhumanz
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Solve |x+ 3|- 1 = (x + 2)^2 by graphing.
The solutions are x =
and x =

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = -2, x = -1

Step-by-step explanation:

A graphing calculator solves this nicely, as shown in the attachment.

  x = -2, x = -1

__

The given equation resolves to two equations.

x+3 < 0

  -(x +3) -1 = (x +2)^2

  x^2 +5x +7 = 0

Checking the discriminant, we find ...

  b^2 -4ac = (5)^2 -4(1)(7) = 25 -28 = -3

There are only complex solutions to this equation.

__

x+3 ≥ 0

  x +3 -1 = (x +2)^2

  (x +2)^2 -(x +2) = 0 . . . .subtract x+2

  (x +2)(x +2 -1) = 0 . . . . . factor

Solutions are values of x that make these factors zero.

  x +2 = 0   ⇒   x = -2

  x +1 = 0   ⇒   x = -1

Domain Check

  x +3 = -2 +3 = 1 > 0 . . . . as required.

View image sqdancefan
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.