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Find all real values of $t$ that satisfy the equation
(t^2 - 13)*2 = 144.

 Dec 13, 2023
 #1
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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.

 Dec 13, 2023

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