Question

Ques) Factorise x^2+5x+13

Answer 1

This can't be factorised since 13 is a prime number or maybe your question is wrong.

:)

Answer 2

$\sf \: \: \: \: \: \: \: {x}^{2} + 5x + 13 \\ \bf \tiny{(x)}^{2} + 2(x)(5) + {(5)}^{2} - [ {(5)}^{2} + 13] \\ \bf {(x + 5)}^{2} - [25 + 13] \\ \bf {(x + 5)}^{2} - [38] \\ \\ \bf {(x + 5)}^{2} - { \bigg( \sqrt{38} \bigg)}^{ \large2} \\ \\ \red{\bf(x + 5 - \sqrt{38} )(x + 5 - \sqrt{38} )}$