### Home > A2C > Chapter 10 > Lesson 10.2.6 > Problem10-157

10-157.

Solve each equation.

1. $\frac { x + 1 } { 5 } = \frac { 5 } { x - 1 }$

Multiply both sides by $5$ and $x − 1$.

$x^{2} − 1 = 25$

Solve for x.

$x^{2} = 26$

$x = \pm \sqrt{26}$

1. $\frac { 1 } { x } + \frac { 1 } { x + 2 } = 3$

See part (a).