Question

WILL STAR & FAN!
\[\sqrt{p^2-3p+49}=p+4\]
the answer is 3 but I don't get how it was gotten
I tried squaring both sides and then canceling out and the answer i got was 11...

Answer 1

@wio

Answer 2

What happened when you squared both sides?

Answer 3

\[
p^2-3p+49 = p^2+8p+16
\]

Answer 4

\[
-3p+49 =8p+16
\]

Answer 5

\[
49 =11p+16
\]

Answer 6

\[
33 =11p
\]

Answer 7

\[
p=3
\]

Answer 8

@Procrasturbator