SOLUTION: Write each equation in quadratic form and solve it by factoring. x(3x + 22/5)= 1

Algebra ->  Equations -> SOLUTION: Write each equation in quadratic form and solve it by factoring. x(3x + 22/5)= 1      Log On


   

Question 44319This question is from textbook INTERMEDIATE ALGEBRA
: Write each equation in quadratic form and solve it by factoring.
x(3x + 22/5)= 1 This question is from textbook INTERMEDIATE ALGEBRA

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From x(3x + 22/5)= 1, we get
3x^2 + (22/5)x = 1
now multiply five and bring everything to the left...then factor...
15x^2 + 22x = 5
15x^2 + 22x - 5 = 0
(5x - 1)(3x + 5) = 0
so that
5x - 1 = 0 and 3x + 5 = 0
which leads to
x = 1/5 and x = -5/3