Question

Find the value of x in the equation 2√x + 20 = 15 + 3√x .

Answer 1

\[2\sqrt{x}+20=15+3\sqrt{x}\]

Answer 2

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

Answer 3

Then square both sides to get x = 25.

Answer 4

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

Answer 5

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
\[10\sqrt x=20\]
\[\sqrt x=2\]
\[x=4\]

Answer 6

thank you for showing all steps