Question

t^2=6+8t solve the equation by completing the square and leave the irrational roots in simplest radical form. please help solve

Answer 1

\[t^2-8t=6\]
\[(t-4)^2=6+4^2=6+16=22\]
\[t-4=\pm\sqrt{22}\]
\[t=4\pm\sqrt{22}\]