Question

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

Answer 1

get the sqrt by itself and then square both sides

Answer 2

yeah, that seems the only way

Answer 3

and then use the root formula

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

thank you!

Answer 8

x=8
x=2

Answer 9

Check out the 2 as it may not work.

Answer 10

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

Answer 11

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

Answer 12

With 2 you are using the negative root.

Answer 13

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

Answer 14

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