yrivers36 4 years ago Solve each equation symbolically. With explanation please. sqrt (x)+1=sqrt (x+2)

1. anonymous

hint... $\LARGE \sqrt x+1=\sqrt{x+2}$ square both sides..

2. Yrivers36

Im not sure but I think I should foil left side of problem

3. Yrivers36

$(\sqrt{x}+1)(\sqrt{x}+1)-x+2$

4. Yrivers36

thats an = in front of x

5. anonymous

$\LARGE (\sqrt x+1)^2=(\sqrt{x+2})^2$ $\LARGE (\sqrt x)^2+2\cdot \sqrt{x}\cdot 1+1^2=x+2$ $\LARGE x+2\cdot \sqrt{x}=x+2-1$ $\LARGE 2\cdot \sqrt{x}=x-x +2-1$ $\LARGE 2\cdot \sqrt{x}=1$ $\LARGE \sqrt{x}=\frac12$ square both sides and there you go :)

6. anonymous

can you do it ?

7. Yrivers36

solution manuel says x = 1/4

8. anonymous

that's correct. Well done ! ;)

9. Yrivers36

Thank you once again :)

10. anonymous