Question

If y+1/y=6 ,Find y -1/y
Please send the answer with process​

Answer 1

Answer:

32

Step-by-step explanation:

y + 1 / y = 6

  Square on both sides :

⇒ ( y + 1 / y )^2 = 6^2  

      use ( a + b )^2 = a^2 + b^2 + 2ab

⇒ y^2 + 1/y^2 + 2( y * 1 / y ) = 36

⇒ y^2 + 1/y^2 + 2( 1 ) = 36

⇒ y^2 + 1/y^2 = 36 - 2 = 34

       Adding - 2 both sides

⇒ y^2 + 1/y^2 - 2 = 34 - 2

⇒ y^2 + 1/y^2 -2( y*1/y ) = 32

⇒ ( y - 1 / y )^2 = 32

⇒ y - 1 / y = √32

Answer 2

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