Math, asked by aymanhaseeb2968, 1 year ago

If x+1/x=9 and x^2 +1/x^2=53 then find
value of x-1/x??

Answers

Answered by sandipkumar79
12
since x+1/x=9
x+1=9x
x=1/8
now, putting the value of x
x=-7
Answered by samkablaam431
12

x + 1/x = 9

You transpose x in 1/x to RHS ( Right Hand Side )

x + 1 = 9x

Now you transpose the x in the LHS ( Left Hand Side ) to the RHS ( Right Hand Side )

1 = 9x - x = 8x

8x = 1

Now you transpose the 8 to the RHS ( Right Hand Side )

x = 1/8

x - 1/x = 1/8 - ( 1 ÷ 1/8 )

Now we reciprocate ( switch the numerator and the denominator ) 1/8

x - 1/x = 1/8 - ( 1 × 8 )

x - 1/x = 1/8 - 8

x - 1/x = 1/8 - 64/8

x - 1/x = -63/8

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