Solve the equation, x^2+3x+1=0, using the quadratic formula.

x = (-3±√5) / 2

Step-by-step explanation:

Matching the given equation to the pattern ...

... ax² + bx + c = 0

we see that a=1, b=3, c=1.

The solution to the above pattern is given by the quadratic formula ...

... x = (-b±√ (b²-4ac)) / (2a)

Substituting the values of a, b, c that we found, the formula gives ...

... x = (-3±√ (3²-4·1·1)) / (2·1)

... x = (-3±√5) / 2