Need Help ASAP!!!!!!!!!!!!!!!!!!!

[tesha05]

Factorize completely as possible and simplify the answer.
x^(-1/2) (x+1)^(1/2) + x^(1/2) (x+1)^(-1/2)

Simplify the expression x- y/(x/y)+(y/x)

Solve the equation (12x - 5)/(6x + 3)= 2 - (5/x)

 

[stapel]

1) You have:

sqrt(x + 1)     sqrt(x)
----------- + -----------
  sqrt(x)     sqrt(x + 1)

You could convert to a common denominator to get:

(x + 1) + x
-------------
sqrt(x^2 + 1)

You can simplify the numerator, but I don't see that anything "factors", as such.

2) You have:

. . . . .x - [y/(x/y)] + (y/x)

After you flip the denominator in the middle term, you get:

. . . . .x - y²/x + y/x

Convert the first term to the common denominator of "x", and add the numerators. I don't see much else you can do with this.

3) One possible first step would be multiplying through by (x)(6x + 3) to get:

. . . . .(x)(12x - 5) = 2(x)(6x + 3) - 5(6x + 3)

Multiply everything out, and, after simplifying, solve the remaining linear equation.

Eliz.