Question

SOLVE THE EQUATION FOR x.

Answer 1

\[x+ 6= \sqrt{18+3x+x ^{2}}\]

Answer 2

Square both sides then combine terms

Answer 3

x= -2?

Answer 4

\[
x+6=\sqrt{x^2+3x+18}\\
x^2+12x+36=x^2+3x+18\\
9x=-18\\
x=-2
\]

Answer 5

Important point to stress to students" squaring can create artificial UN existent solutions. To weed them out - all must be substituted in the original eqn.