how can I solve this problem? sqrt(2x) +4=x

Question

myininaya · Answer

get the sqrt by itself and then square both sides

anonymous · Answer

yeah, that seems the only way

anonymous · Answer

and then use the root formula

myininaya · Answer

sqrt(2x)=x-4
2x=(x-4)^2
2x=x^2-8x+16
x^2-8x-2x+16=0
x^2-10x+16=0

anonymous · Answer

darn, beat me to it
yeah, jk about the formula

radar · Answer

(x-8)(x-2)=0

anonymous · Answer

thank you!

radar · Answer

x=8
x=2

radar · Answer

Check out the 2 as it may not work.

myininaya · Answer

if you ever have sqrts in your problem, get rid of them by getting just one sqrt on one side of the equation and square both sides to get rid of it.  the process will be continued if you have more than one

myininaya · Answer

yes always check the x's that you get whenever you raise both sides to an even power which we did to get rid of the sqrt

radar · Answer

With 2 you are using the negative root.

radar · Answer

So I guess it is o.k,  true you will lose negative sign when squaring so try and keep track.

myininaya · Answer

x=2 will not work since sqrt(4) does not equal -2