SOLUTION: Find the roots of the quadratic equation x2 + 2x + 3 = 3x2 + 2x - 1. (Enter the smaller root in the first box and the larger root in the second box.)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the roots of the quadratic equation x2 + 2x + 3 = 3x2 + 2x - 1. (Enter the smaller root in the first box and the larger root in the second box.)       Log On


   

Question 651454: Find the roots of the quadratic equation x2 + 2x + 3 = 3x2 + 2x - 1. (Enter the smaller root in the first box and the larger root in the second box.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the roots of the quadratic equation x^2 + 2x + 3 = 3x^2 + 2x - 1.
Combine like terms on the right
0 = 3x^2 - x^2 + 2x - 2x - 1 - 3
0 = 2x^2 - 4
4 = 2x^2
Divide both sides by 2
2 = x^2
x = +sqrt%282%29
and
x = -sqrt%282%29