Here we are given the expression:
[tex]x^{2}+52[/tex]
Now let us equate it to zero to find x first,
[tex]x^{2}+52=0[/tex]
Now subtracting 52 from the other side,
[tex]x^{2}=-52[/tex]
taking square root on both sides,
So we will get two values of x as ,
[tex]x=+2\sqrt{-13}[/tex]
[tex]x=-2\sqrt{-13}[/tex]
Now we can write square root -1 as i,
So our factors become,
[tex]x=+2i\sqrt{13}[/tex]
[tex]x=-2i\sqrt{13}[/tex]
Answer:
The final factored form becomes,
[tex](x+2i\sqrt{13})(x-2i\sqrt{13})[/tex]
