Question

3(x-4)^2=-12

Answer 1

no real solution since the left is positive and the right is negative

Answer 2

3(x-4)^(2)=-12

(x-4)^(2)=-4

\[\sqrt{(x-4)^{2}}=\pm \sqrt{-4}\]

\[(x-4)=\pm2i\]

\[x=4+2i,4-2i \]

Answer 3

if you allow complex solutions start with
\[(x-4)^2=-4\]
\[x-4=\pm\sqrt{-4}=\pm2i\]
\[x=4\pm2i\]

Answer 4

No real solutions

Answer 5

what .sam said
just don't foil!