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Given $P=\sqrt{\dfrac{5}{x+2}} + \dfrac{x}{3}$

  1. For what value(s)of $x$ will $P$ be a real number?
  2. Show that $P$ is rational if $x=3$

 

in Mathematics by Diamond (60,544 points) | 19 views

1 Answer

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1. 5/(x+2) > 0  , (greater or equal sign)

    5(x+2) > 0

   5x + 10  >0

          x > -1/2

2. = 1+1  , , substitute x value to get,

= 2 , hence ration
by Diamond (42,256 points)

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