How do you solve x^2+3x+1=0 using the quadratic formula?

1 Answer
Apr 7, 2016

Solution is given by irrational numbers (-3+sqrt5)/2 and (-3-sqrt5)/2.

Explanation:

The solution of a quadratic equation ax^2+bx+c=0, using quadratic formula is given by (-b+-sqrt(b^2-4ac))/(2a)

Hence the solution of x^2+3x+1=0 is given by

x=(-3+-sqrt(3^2-4*1*1))/(2*1) or

x=(-3+-sqrt(9-4))/2=(-3+-sqrt5)/2

Hence solution is given by irrational numbers (-3+sqrt5)/2 and (-3-sqrt5)/2.