Rational Functions: Solving Rational Equations and Inequalities

think icon Think & Click: Solutions to Rational Equations

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on it to reveal the solution.

Is x = -1 the solution to 1 equals 1 divided by the quantity x squared plus 2 x, plus the quantity x minus 1 divided by x?
 

Yes

1 equals 1 divided by the quantity negative 1 squared plus 2 times negative 1, plus the quantity negative 1 minus 1 divided by negative 1, 1 equals 1 divided by the quantity 1 plus negative 2, plus negative 2 divided by negative 1, 1 equals 1 divided by negative 1 plus 2, 1 equals negative 1 plus 2, 1 equals 1
 

Is m = 3 is the solution to negative 6 divided by the quantity m minus 3 equals 1?
 

No.

negative 6 divided by the quantity 3 minus 3 equals 1, negative 6 divided by 0 equals 1

m = 3 is an excluded value.