alg2
posted by skye on .
solve for
10/x^22x + 4/x = 5/x2
3x/x+1 + 6/2x = 7/x
8(x1)/x^24 = 4/x2
check for any extraneous solutions! thanks!

I'll do one, and you try the others. If you get stuck, come on back.
10/(x^22x) + 4/x = 5/(x2)
x^22x = x(x2), so that's the LCD. Multiply through to get
10 + 4(x2) = 5x
10 + 4x  8 = 5x
x = 2
Unfortunately, the original equation has (x2) in the denominator, so it is undefined there. No solution.