Question

if x+ 3/x is equal to 4 then find the value of x-3/x

Answer 1

please find this answer Ans = -2

Answer 2

Answer:

4

Step-by-step explanation:

This is the equation to be worked on

x + 3/x = 4

  ⇒   (x* x/x)  + 3/x = 4           (  Making the denominators equal )

  ⇒   x^2/x + 3/x = 4                  (  By solving x * x/x )

  ⇒   (x^2 + 3) / x = 4                 (   By factorizng )

  ⇒   x^2 + 3 = 4x                      (  By multiplying x on lhs and rhs , the x  

                                                   numerator is cancelled on the left hand

                                                  and on the right side x is multiplied by 4)

  ⇒  x^2 - 4x = -3

  ⇒  x^2 - 4x + 4 = -3 +4              (  By adding 4 on both sides )

  ⇒  (x)^2 - (2)(2)(x) + (2)^2 = 1    (  By factorizing the left hand side we get

                                                       the formula for (x - y)^2 where x =x

                                                        and y = 2)

  ⇒  (x - 2)^2 = 1

  ⇒  x - 2      =  √1                      

  ⇒ x            =   3                      (   √1 = 1 and 1 + 2 (which was moved from

                                                            the left side) =3 )

 

therefore x - x/3 = 3 - 3/3 = 3 - 1 = 4