what does x equal in the following equation 10=-16(19.75/x*cos50)^2+(x*sin50)*(19.75/x*cos50)+8.25
Solve for x:
10 = 17.975-2578.63/x^2
17.975-2578.63/x^2 = 17.975-2578.63/x^2:
10 = 17.975-2578.63/x^2
10 = 17.975-2578.63/x^2 is equivalent to 17.975-2578.63/x^2 = 10:
17.975-2578.63/x^2 = 10
Bring 17.975-2578.63/x^2 together using the common denominator x^2:
(17.975 (1 x^2-143.457))/x^2 = 10
Multiply both sides by x^2:
17.975 (x^2-143.457) = 10 x^2
Expand out terms of the left hand side:
17.975 x^2-2578.63 = 10 x^2
Subtract 10 x^2-2578.63 from both sides:
7.97498 x^2 = 2578.63
Divide both sides by 7.97498:
x^2 = 323.34
Take the square root of both sides:
Answer: | x = 17.9817 or x = -17.9817
