Jenny and Gina were trying to solve $\sqrt { x + 5 } + \sqrt { x } = 5$. They knew they would have to square the equation to get rid of the radicals, but when they tried it, they got $x + 5 + 2 \sqrt { x ( x + 5 ) } + x = 25$, which did not look much easier to deal with. Gina had an idea.

“But there's still a radical!” she exclaimed, disappointed.

“That's okay,” said Jenny, “there's only one now, so we can get the term with the radical by itself and then square everything again.”

1. Follow Jenny's advice and solve this equation.

   Hint (a):

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

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

   More Help (a):

   

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

   Answer (a):

   $x = 4$

2. Use Jenny and Gina's method to solve $\sqrt { 2 x - 2 } - \sqrt { x } = 1$.