How Many Roots Does The Equation X^2 + 2x + 1 = 0 Have?

How many roots does the equation x^2 + 2x + 1 = 0 have?

 

Answer:

The given equation x^{2} + 2x + 1 = 0 has one root.

Step-by-step explanation:

To know how to answer the question correctly, here are the related details that you need to know:

  • Roots are where polynomials are equal to zero.
  • To compute for the roots of the given polynomial x^{2} + 2x + 1 = 0, this has to be factored.
  • How do you factor polynomials? Click the following links: brainly.ph/question/67957, brainly.ph/question/205121 and brainly.ph/question/753406
  • After factoring, x^{2} + 2x + 1 = 0 will become (x + 1) (x + 1) = 0.
  • Then, set each term to zero. (x + 1) = 0 and (x + 1) = 0.
  • Transpose the constants to the other side, and we can derive x = -1 and x = -1. This is the root of the given equation.
  • Therefore, the equation x^{2} + 2x + 1 = 0 has only one root, which is -1.  

That is how to solve the given question.

10.3.1.2.3.


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