I came across this problem and I am a bit unsure as to how to solve it. I used to be quite good at math back in school, and I know I used to be able to do things like this. I'm just not sure what kind of techniques I used to solve things like this. I just need a nudge in the right direction. Please help.
Update:I understand. This was part of a much bigger physics problem. Eventually I solved the problem in another way, but this was the shortest way, and I couldn't get past it. Lets simplify it by removing the sin part. 4.9x² - 13.946x + 3 = 0. This is what i'm thinking so far: I can factorize it, but I can't. I can complete the square, but I forgot how. And I can't even remember what other options there are. It's been 10 years since I've done anything like this.
Answers & Comments
Verified answer
4.9x² - 13.946x + 3 = 0
∆ = √(b^2 - 4ac) = √135.69 = 11.64
x = (-b ± √∆ )/2a = (13.946 ± 11.64) / (2*4.9) = 2.61 , 0.23
This is just a messy quadratic eqn. Just use the regular quadratic form with A= 4.9, B= -33*sin25 and C= 3. The only thing you have to be sure of is whether sin25 is expressed in degrees or radians. If it's not specified I would go with radians. Let me know if you have any other questions. :)