Answer:
t = sqrt(595/1289) or t = -sqrt(595/1289)
Step-by-step explanation:
Solve for t:
29/35 = 17/t^2 - 36
29/35 = 17/t^2 - 36 is equivalent to 17/t^2 - 36 = 29/35:
17/t^2 - 36 = 29/35
Bring 17/t^2 - 36 together using the common denominator t^2:
(17 - 36 t^2)/t^2 = 29/35
Cross multiply:
35 (17 - 36 t^2) = 29 t^2
Expand out terms of the left hand side:
595 - 1260 t^2 = 29 t^2
Subtract 29 t^2 + 595 from both sides:
-1289 t^2 = -595
Divide both sides by -1289:
t^2 = 595/1289
Take the square root of both sides:
Answer: t = sqrt(595/1289) or t = -sqrt(595/1289)
