Question

solve:

square root(x+7) + square root(x) = 2

Answer 1

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

Answer 2

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

Answer 3

square both sides

Answer 4

i got x = -3/2 lol

Answer 5

\[x+7=4-2(2\sqrt{x})+x\]

Answer 6

\[7=4-4\sqrt{x}\]

Answer 7

\[3=-4\sqrt{x}\]

Answer 8

\[\frac{3}{-4}=\sqrt{x}\]

Answer 9

\[x=\frac{9}{16}\]

Answer 10

i was quite wrong..

Answer 11

we need to check it though

Answer 12

it might not even be a solution
since we squared both sides

Answer 13

i will leave the checking to you
just plug in 9/16 and see if both sides are the same