Question

Solve the equation.

Answer 1

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)