Question

factorise X² - 2√5x + 3 by splitting the middle term

Answer 1

Answer:

$\bold{x = ( \sqrt{5} - \sqrt{2} ) \: and \: x = ( \sqrt{5} + \sqrt{2} )}$

Step-by-step explanation:

$\bold{ {x}^{2} - 2 \sqrt{5} x + 3} \\ {x}^{2} - ( \sqrt{5} + \sqrt{2} )x - ( \sqrt{5} - \sqrt{2} )x + 3 \\ x(x - ( \sqrt{5} + \sqrt{2} ) )- ( \sqrt{5} - \sqrt{2} )(x - ( \sqrt{5} + \sqrt{2} ) \\ (x -( \sqrt{5} + \sqrt{2} ))(x - ( \sqrt{5} - \sqrt{2} ) \\ x = ( \sqrt{5} + \sqrt{2} ) \: and \: x = ( \sqrt{5} - \sqrt{2} )$