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Question from John, a student:

Solve each equation. Check each solution.
1/8+5x/x+2=5/2

10/2y+8 - 7y+8/y(squared)-16 = -8/2y-8

Hi John,

Each of these problems require finding a common denominator, simplifying the expression and then solving the resulting equation. I'm going to illustrate with

equation

Using the common denominator of x(x + 2) on the left side this simplifies to

7(x + 2) + x(3x) = 4x(x + 2)
-x2 - x + 14 = 0

Solving this using the general quadratic gives me

x = 1/2 (-1 ± √65)

Now try your problems,
Harley

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