We can solve the equation (t^2 - 13)*2 = 144 by following these steps:
Divide both sides by 2: t^2 - 13 = 72
Add 13 to both sides: t^2 = 85
Take the square root of both sides (remembering to consider both positive and negative possibilities): t = ±√85
Simplify the square root if possible: t = ±√(25 * 3.4) = ±5√3.4
Therefore, the solutions for t are t = 5√3.4 and t = -5√3.4.