Question
Solve and factor each equation
X^2+2x+1=0
X^2+2x+1=0
Answers
Answered by
GPT 3.5
To solve for x, we need to factor the equation first:
X^2 + 2x + 1 = 0
This equation can be factored as:
(X + 1)(X + 1) = 0
Now, we have a perfect square trinomial:
(X + 1)^2 = 0
To solve for x, we set the equation equal to zero and solve for x:
(X + 1)^2 = 0
X + 1 = 0
X = -1
Therefore, the solution to the equation X^2 + 2x + 1 = 0 is x = -1.
X^2 + 2x + 1 = 0
This equation can be factored as:
(X + 1)(X + 1) = 0
Now, we have a perfect square trinomial:
(X + 1)^2 = 0
To solve for x, we set the equation equal to zero and solve for x:
(X + 1)^2 = 0
X + 1 = 0
X = -1
Therefore, the solution to the equation X^2 + 2x + 1 = 0 is x = -1.