How do you solve 3x^2 + 5x + 1 = 0?

1 Answer
Aug 3, 2015

This equation has two real solutions:

x_1=(-5-sqrt(13))/6

x_2=(-5+sqrt(13))/6

Explanation:

To solve a quadratic equation you have to calculate Delta

Delta=b^2-4ac

Delta=5^2-4*3*1=25-12=13

Calculated value is positive, so the equation has 2 real solutions, which can be calculated using:

x_(1,2)=(-b+- sqrt(Delta))/(4a)