SOLUTION: Which of the following are solutions to the equation below? Check all that apply. 3x2 - 5x + 1 = 0 A. x = -5 - square root of 13 over 6 B. x = 5

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Question 304532: Which of the following are solutions to the equation below?
Check all that apply.
3x2 - 5x + 1 = 0
A. x = -5 - square root of 13 over 6
B. x = 5 - square root of 37 over 6
C. x = 5 + square root of 13 over 6
D. x = 5 - square root of 13 over 6
E. x = 5 + square root of 37 over 6
F. x = -5 + square root of 13 over 6

Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
Go to this URL and use it to help you solve this problem. It is a nice tool to keep in your bookmarks
http://www.algebra.com/algebra/homework/quadratic/quadratic.solver

I used that URL using your coefficients to get this result

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=13 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.43425854591066, 0.232408120756002. Here's your graph:

SOLUTION: Which of the following are solutions to the equation below? Check all that apply. 3x2 - 5x + 1 = 0 A. x = -5 - square root of 13 over 6 B. x = 5 - square root of 37