+0  
 
0
43
1
avatar

Given (14x+22)/(2x+18)=3x+1, compute the sum of all the possible values of x.

Express your answer as a fraction.

 Aug 1, 2021
 #1
avatar+34316 
+1

(14x+22)/(2x+18)=3x+1       Multiply both sides of the equation by (2x+18)

14x +22 = (3x+1)(2x+18)     expand and simplify to

6x^2+42x-4 = 0     Now use Quadratic Formula       to find x values    

       a = 6    b = 42    c = -4    in the Quadratic Formula

 

\(x = {-42 \pm \sqrt{42^2-4(6)(-4)} \over 2(6)}\)

 Aug 1, 2021

25 Online Users

avatar
avatar
avatar