Question 137231
538/(186-x)+1415/(186+x)=12
[538(186+x)+1415(186-x)]/(186-x)(186+x)=12 now cross multiply
12(186-x)(186+x)=538(186+x)+1415(186-x)
12(34,596-x^2)=100,068+538x+263,190-1415x
415,152-12x^2=363,258-877x
-12x^2-877x+415,152-363,258=0
-12x^2-877x+51,894=0
using the quadratic equation we get:{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
x=(877+-sqrt[-877^2-4*-12*51,894])/2*-12
x=(877+-sqrt[769,129+2,490,912])/-24
x=(877+-sqrt[3,260,041)/-24
x=(877+-1,805.5583)/-24
x=(877-1,805.5583)/-24
x=-928.5583/-24
x=38.69 mph is the speed of the wind.