Respuesta :

24nanjoshua

Steps:

  1. Writing down the equation. x^2 + 1 = 0.
  2. Subtract 1 from both sides. x^2 = -1
  3. Square root (I am going to use the abbreviation sqrt) on both sides. x = sqrt (-1)
  4. sqrt (-1) is simplified as i (or imaginary number). Because of the sqrt, it would be plus or minus.
  5. (x+i)(x-i) is your answer. If you are in a lower math class (mentioning 10th grade or below), you should just put no solution.

Hello,

We cannot factorize this binomial expression using normal factorization method.

if you have studied complex numbers method, then you can solve.

Here are the steps :-

[tex]{x}^{2} = (x)(x)[/tex]

[tex]→1 = (i)( - i)[/tex]

Now multiply,

[tex](x)(i) + (x)( - i) = (xi) - (xi) = 0[/tex]

[tex]→(x + i)(x - i)[/tex]

Therefore, the factors are (x+i)(x-i) :-

[tex]→ {x}^{2} = (x + i)(x - i)[/tex]

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