Question 449726
{{{sqrt(2x + 3) = x}}}
You found the solutions correctly, but you must check your answers in all square-root equations like this.
-1 is not an answer because:
{{{sqrt(2(-1) + 3) = -1}}}
{{{sqrt(-2 + 3) = -1}}}
{{{sqrt(1) = -1}}}
{{{1 = -1}}} <== FALSE!
Sure, if you multiply -1*-1, that equals 1, so technically {{{sqrt(1) = -1}}} is correct, but in order to avoid confusion, people have decided to denote only a positive number x as {{{sqrt(x^2)}}}; negative x is denoted as {{{-sqrt(x^2)}}}. For example:
5 is denoted as {{{sqrt(25)}}}
-5 is denoted as {{{-sqrt(25)}}}, NOT {{{sqrt(25)}}}
Since {{{sqrt(2(3) + 3) = 3}}}
{{{sqrt(6 + 3) = 3}}}
{{{sqrt(9) = 3}}}
{{{3 = 3}}} is correct,
***The only solution for x is 3.
I hope that makes sense! =)