Question

what is the soultion
sqrt5x+1 - sqrt x=5

Answer 1

@hartnn @jjuden

Answer 2

@SolomonZelman

Answer 3

Is this the equation you need help with, @Jelia97 ?
\[\sqrt{5x+1} -\sqrt{x} = 5\]

Answer 4

yes thats it

Answer 5

Okay, so the first thing you want to do is get rid of the square roots, so you want to square both sides so you get
\[(\sqrt{5x+1} - \sqrt{x})^{2} = 5^{2}\]
\[5x + 1 - \sqrt{5xx+1} - \sqrt{5xx+1} + x\]
What do you do now?

Answer 6

oops, I forgot to put = 25 at the end

Answer 7

it would be better if you first add sqrtx on both sides, before squaring both sides

Answer 8

What's that @hartnn ?

Answer 9

sqrtx?

Answer 10

yes
like this
sqrt(5x+1) - sqrt x=5
sqrt(5x+1) = sqrt x+5
now square both sides

Answer 11

Oh, I know what you mean now. Oh, yeah. I probably should have done that first.

Answer 12

\[\sqrt{5x + 1} - \sqrt{x} = 5\]
\[\sqrt{5x + 1} = 5 + \sqrt{x}\]
\[(\sqrt{5x + 1})^{2} = (\sqrt{x} + 5)\]
\[5x + 1 = x + 5\sqrt{x} + 5\sqrt{x} + 25\]
Okay, so NOW what do you do?

Answer 13

is the answer x=16 and x=1

Answer 14

16, yes. 1 no

Answer 15

u sure?? is it just 16

Answer 16

yup, only 16

Answer 17

oh my mistake plugged in a extra 1 lol nvm

Answer 18

thanks

Answer 19

welcome ^_^