To solve the equation (990/(600-x))+(990/(600+x))=(10/3), you can start by simplifying the equation by finding a common denominator for the fractions on the left side:
Multiply the first term by (600+x) and the second term by (600-x):
(990)(600+x)+(990)(600-x)=(10/3)(600^2-(x^2))
Now, distribute and simplify:
(990)(600)+(990)(x)+(990)(600)-(990)(x)=(10/3)(360,000-x^2)
Combine like terms:
(990)(600)+(990)(600)=(10/3)(360,000-x^2)
2(990)(600)=(10/3)(360,000-x^2)
Simplify both sides of the equation:
1188,000 = (3/10)(360,000-x^2)
Multiply both sides of the equation by (10/3):
(10/3)(1188,000) = 360,000-x^2
Simplify:
3,960,000 = 360,000-x^2
Rearrange the equation:
x^2 = 360,000 - 3,960,000
Simplify:
x^2 = -3,600,000
Take the square root of both sides:
x = ±√(-3,600,000)
Since the square root of a negative number is not defined in the real number system, it means that there is no real solution to this equation.
Therefore, there is no solution for the speed of the wind in this case.