Question

Hi there please explain how to solve or factorise this as i dont know the formula plus how to do ?:)

Answer 1

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.

Answer 2

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 :-

${x}^{2} = (x)(x)$

$→1 = (i)( - i)$

Now multiply,

$(x)(i) + (x)( - i) = (xi) - (xi) = 0$

$→(x + i)(x - i)$

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

$→ {x}^{2} = (x + i)(x - i)$