Question

check √(2x+5) for extraneous solutions and show your work.

Answer 1

is that the full question?

Answer 2

sorry the question is:check √(2x+5)=x+3 for extraneous solutions and show your work.

Answer 3

okay i was about to say...

Answer 4

lol I know

Answer 5

well just solve for x, there should be 2 values

then test your values for x and see if they both actually work

Answer 6

when I solved for x I got (x+2)(x+2)

Answer 7

which is basically just -2 rite?

Answer 8

so....

Answer 9

start by squaring everything to get rid of the radical

2x+5 = (x+3)^2

2x+5 = x^2 +6x +9

0 = x^2 +4x +4

(x+2)(x+2)

x=-2

now lets test it

√(2x+5)=x+3

√(-4+5)=-2+3

1 = 1


works

no extraneous solutions

Answer 10

ok that's what I had! but since I didn't find any I just wanted a 2nd opinion

Answer 11

thank u! :)

Answer 12

well it says just to check for them haha

you're welcome