Question

if x+1by x =4 find the value. of x-1byx

Answer 1

Answer:

root 12

Step-by-step explanation:

x + 1 /x = 4

by squaring both sides, we get

(x + 1 /x)² = 4²

x² + 1 /x² + 2 = 16.....[ (a + b)² = a² + b² + 2ab ]

x² + 1 /x² = 16 - 2

x² + 1 /x² = 14.........( i )

( x - 1 /x )² = x² + 1 /x² -2

( x - 1 /x )² = 14 - 2......( by putting the value of x² + 1 /x² from eq. i )

( x - 1 /x )² = 12

( x - 1 / x) = root 12

Hence, our answer is root 12

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Answer 2

Answer:

-2

Step-by-step explanation:

x+1/x = 4

1 + 1/x = 4

1/x = 4-1=3

1/x = 3

x= 1/3

-----> x-1/x =

1/3 - 1 ÷ 1/3=

-2/3 ÷ 1/3 =

-2/3 × 3 =

-2

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