SOLUTION: Solve the following equation for x, giving your answer correct to 2 decimal places: (a/x) - (b/(cx+d)) when a = 14, b = 3, c = 8 and d = 5.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the following equation for x, giving your answer correct to 2 decimal places: (a/x) - (b/(cx+d)) when a = 14, b = 3, c = 8 and d = 5.      Log On


   

Question 982713: Solve the following equation for x, giving your answer correct to 2 decimal places:
(a/x) - (b/(cx+d))
when a = 14, b = 3, c = 8 and d = 5.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to solve the following equation for x, make it equal to zero
%28a%2Fx%29+-+%28b%2F%28cx%2Bd%29%29=0
when a+=+14, b+=+3, c+=+8 and d+=+5, we have

%2814%2Fx%29+-+%283%2F%288x%2B5%29%29=0

14%288x%2B5%29%2Fx%288x%2B5%29+-+3x%2Fx%288x%2B5%29%29=0

%28112x%2B70%29%2Fx%288x%2B5%29+-+3x%2Fx%288x%2B5%29%29=0

%28112x%2B70+-+3x%29%2Fx%288x%2B5%29%29=0

%28109x%2B70%29%2Fx%288x%2B5%29%29=0
numerator cannot be equal to zero, so
109x%2B70=0...solve for x

109x=-70
x=-70%2F109
x=-0.6422018348623853
x=-0.64