### Home > A2C > Chapter 10 > Lesson 10.2.4 > Problem10-111

10-111.
1. Jenny and Gina were trying to solve . They knew they would have to square the equation to get rid of the radicals, but when they tried it, they got , which did not look much easier to deal with. Gina had an idea. Homework Help ✎

2. Use Jenny and Gina's method to solve .

$\sqrt{x+5}=5-\sqrt{x}$

$\sqrt{x+5}^{2}=(5-\sqrt{x})^{2}$

$x+5=25-10\sqrt{x}+x$

x = 4

See part (a).

x = 1 or x = 9
One of these does not check.