Question

if x =4+ route 15 then x+1/x​

Answer 1

Answer:

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Step-by-step explanation:

x= (4-root15)

then( x+1/x)=(4-root15+1/(4-root15))

=(4-root15)2+1/(4-root15)

=((4)2+(root15)2-2×4×root15+1)/(4-root15)

=(16+15-8root15+1)/(4-root15)

=(16+16-8root15)/(4-root15)

=(32-8root15)/(4-root15)

=8 (4-root15)/(4-root15)

x+1/x=8

Answer 2

Answer:

            8

Step-by-step explanation:

x =4+ √15

1 / x = 1 / (4+ √15) × (4 - √15) / (4 - √15)           {rationalisation}

      = 4 - √15 / (4)² - (√15)²

      = 4 - √15 / 16 - 15

      = 4 - √15 / 1

1 / x = 4 - √15

   x + 1 / x​

= 4+ √15 + 4 - √15

= 4 + 4

= 8