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

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0