Question

solve
sqrt(7x+46)=x+4

Answer 1

7x + 46 = (x+4)^2

Answer 2

-6,5

Answer 3

x=5 is the solution

Answer 4

are u here sat?

Answer 5

as we know, you have to check your answer. if you replace x by -6 you get
\[\sqrt{4}=-2\] which is false, but if you square both sides you get
\[4=4\] which is true. this shows that if you square both sides you can introduce a solution that is not true for the original equation

Answer 6

ALRIGHTO!

Answer 7

thanks.

Answer 8

yw

Answer 9

so checking is the most important part in this..

Answer 10

right?

Answer 11

yes if you square you have to check, because squaring is not "one to one"

Answer 12

GREAT.. xD

Answer 13

i would fan u again for this.

Answer 14

thanks guys!

Answer 15

you would not have to check if you were taking the log for example, because
\[\log(a)=\log(b)\iff a=b\]

Answer 16

i have another one about the fower garden posted, if i could get some help :)

Answer 17

but
\[a^2=b^2\] does not imply
\[a=b\]

Answer 18

Cool.