(x+2)^2-25=0 perfect square?

Stuck! Need Help

4 Answers

Relevance
  • 1 month ago
    Favorite Answer

    No, (x + 2)^2 - 25 = 0 is not a perfect square:

    (x + 2)^2 - 5^2 = 0 

    (x - 3)(x + 7) = 0

    • Commenter avatarLogin to reply the answers
  • 1 month ago

    no, it is not a perfect square, but it IS the difference of two squares and can be factored as such:

    (x+2)^2 - 25 = 0

    (x + 2 + 5) (x + 2 - 5) = 0

    (x + 7) (x - 3) = 0

    x = -7 or x = 3

    • Commenter avatarLogin to reply the answers
  • 1 month ago

    (x + 2)² - 25 = 0

    Add 25 to both sides

    (x + 2)²  = 25

    Take the square root of both sides

    x + 2 = ±5

    Subtract 2 from both sides

    For x + 2 = -5

    x = -7

    For x + 2 = 5

    x = 3

    Therefor

    x = {-7, 3} <––––––

    • Commenter avatarLogin to reply the answers
  • Anonymous
    1 month ago

    Its pretty simple.

    Add 25 to both sides so that you get (x+2)^2=25.

    Then, take the square root of both sides to remove the square to get x+2=5.

    Solve like you normally solve an equation. Isolate x by subtracting 2 from both sides to get x=3.

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.