Question

Last problem... The square root of 2a+3 = a
Answer is a=3, but I keep getting negative 3.

Answer 1

\[\sqrt{2a+3}=a\]

Answer 2

@Mertsj @satellite73

Answer 3

Square both sides.

Answer 4

2a+3=a^2

Answer 5

And:
\[a^2-2a-3=0\]

Answer 6

Furthermore:
\[(a-3)(a+1)=0\]

Answer 7

AH, I see what you did. And -1 cannot be a solution, so 3 is the only correct answer. Thanks!

Answer 8

yes. yw