Question

if x=4-√15,then find the value of (x+1/x)2​

Answer 1

Answer:

Here is your answer mate.

Step-by-step explanation:

X=4-root15

SO, We have to find the value of (x+1/x)²

ON PUTTING THE GIVEN VALUE

= (x+1/x)²

= (4-root15+1/4-root15)²

= (5-root15/4-root15)²

USING IDENTITY, (A-B)²=A²+B²-2AB

=[ ( 5²+(root15)²-2×5×root15)/(4²+(root15)²-2×4×root15) ]

=[ (25+15-10root15)/(16+15-8root15) ]

=[ (40-10root15)/(31-8root15) ]

To obtain a decent solution you can rationalise the denominator,it is done by multiplying the positive denominator i.e (31+8root15) in both numerator and denominator .

HOPE IT HELPS YOU.