Question

Select whether the equation has a solution or not. Explain every step pls

Answer 1

\[\sqrt{x}+1=7-2\sqrt{x}\]

Answer 2

let's try find our x...

Answer 3

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.

Answer 4

@MrNood is back! :D

Answer 5

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

Answer 6

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

Answer 7

\[3\sqrt{x}=6\]

Answer 8

yay... now divide both sides

Answer 9

the number parts

Answer 10

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

Answer 11

So yeah it has a solution

Answer 12

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

Answer 13

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

Answer 14

I got 2=2

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

ok thanks