Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 695: 30

The equation has one solution, 6.

$\frac{x+2}{x+4}=\frac{x-2}{x-1}$ $(x+2)(x-1)=(x-2)(x+4)$ (Cross Products Property) $x^2+x-2=x^2+2x-8$ $x-2=2x-8$ $2x-x=-2+8$ $x=6$ Check: $(6+2)/(6+4)=8/10=4/5; (6-2)/(6-1)=4/5$ The equation has one solution, 6.