u^2 + 33.405u - 2360.582 = 0

Solve for u:
u^2+33.405 u-2360.58 = 0

 

u^2+33.405 u-2360.58 = u^2+(6681 u)/200-1180291/500:
u^2+(6681 u)/200-1180291/500 = 0

 

Add 1180291/500 to both sides:
u^2+(6681 u)/200 = 1180291/500

 

Add 44635761/160000 to both sides:
u^2+(6681 u)/200+44635761/160000 = 422328881/160000

 

Write the left hand side as a square:
(u+6681/400)^2 = 422328881/160000

 

Take the square root of both sides:
u+6681/400 = sqrt(422328881)/400 or u+6681/400 = -sqrt(422328881)/400

 

Subtract 6681/400 from both sides:
u = sqrt(422328881)/400-6681/400 or u+6681/400 = -sqrt(422328881)/400

 

Subtract 6681/400 from both sides:
Answer: |u = sqrt(422328881)/400-6681/400    or     u = -6681/400-sqrt(422328881)/400

\(u^2+33.405u-2360.582=0\)

\(u = {-33.405 \pm \sqrt{33.405^2-4(1)(-2360.582)} \over 2(1)}\) Quadratic Formula.

Use your calculator for the answer. Probably same answer as Guest #1