## anonymous one year ago Select whether the equation has a solution or not. Explain every step pls

1. anonymous

$\sqrt{x}+1=7-2\sqrt{x}$

2. UsukiDoll

let's try find our x...

3. UsukiDoll

so there's a variable on the right. add to both sides to shift it to the left and then subtract 1 on both sides.

4. UsukiDoll

@MrNood is back! :D

5. anonymous

ok so now we have$\sqrt{x}=6-2\sqrt{x}$

6. UsukiDoll

ok good so far... what next? we want all variables to the left...

7. anonymous

$3\sqrt{x}=6$

8. UsukiDoll

yay... now divide both sides

9. UsukiDoll

the number parts

10. anonymous

Oh ok that was actually pretty easy x=4 I just messed up really early and it got complicated from there. Thanks

11. anonymous

So yeah it has a solution

12. UsukiDoll

you can plug 4 into the original equation to see if it equals.. I'm sure it does XD

13. UsukiDoll

when you plugged x = 4 back into the original equation, did you get 3?

14. anonymous

I got 2=2

15. UsukiDoll

how though? $\sqrt{4}+1=7-2\sqrt{4}$ $2+1=7-2(2)$ $3=7-4$ $3=3$

16. anonymous

Oh well I didn't use the original equation I started when we had already subtracted 1 from each side but I see how u did it the original way too

17. UsukiDoll

to check to see if the solution works.. plug it back into the original equation... but I guess plugging it back earlier would work too... but it's best to do this to the original equation

18. anonymous

ok thanks