## anonymous 4 years ago Find the value of x in the equation 2√x + 20 = 15 + 3√x .

1. anonymous

$2\sqrt{x}+20=15+3\sqrt{x}$

2. anonymous

getting sqrt(x) on one side and constant on the other gives sqrt(x) = 5. Can u understand that?

3. anonymous

Then square both sides to get x = 25.

4. anonymous

$\sqrt{x}+5=\sqrt{x+45}$ what's x? ok another example

5. ash2326

square both sides ${(\sqrt x+5)}^2=\sqrt{x+45}^2$ we'll get $x+ 25+10 \sqrt x= x+45$ cancel both x we get $10\sqrt x=20$ $\sqrt x=2$ $x=4$

6. anonymous

thank you for showing all steps