Question

if x is equal to 4 minus root 15 find the value of x plus one by X

Answer 1

in here
x= 4-√15
x+1/x = 4-√15 + 1/4-√15
now rationalize the denominator of the 2nd term that is 1/4-√15
1/4-√15×4+√15/4+√15 (a²-b²)
we get 4+√15
x+1/x= 4-√15+4+√15
=8


hope it helps

Answer 2

Heya

$x = (4 - \sqrt{15} )$

$= > \frac{1}{x} = \frac{1}{(4 - \sqrt{15}) } = \frac{(4 + \sqrt{15} ) }{ {4}^{2} - { \sqrt{15} }^{2} }$

$= > \frac{1}{x} = (4 + \sqrt{15} )$

$= > (x + \frac{1}{x} ) = 8$

Hope this helps ^_^