Rational Equations Assignment Answers

Solve: 1/3a^2-1/a=1/6a^2

1/6

Which graph shows a system of equations that solves − 2x − 1 = 4, and the solution itself?

A. (The first graph)

A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3a + 2 − 6aa2 − 4 = 1a − 2

No, the student did not check the solution to the derived equation in the original equation. No, a possible solution is a = -2, but it does not check in the original equation because it makes two of the denominators equal to zero. No, a = -2 is an extraneous solution, and there is no solution to the original rational equation.

Solve x^2 − x − 6/x^2 = x − 6/2x + 2x + 12/x

Resulting equation: 3x^2+20x+12=0. Solutions: x=-6, x=-2/3

Solve and check c-4/c-2=c-2/c+2-1/2-c

The solution is c=14. There are zero extraneous solutions.

Solve and check: 1/x+3=x+10/x-2

x=-8 and x=-4