Question

Solve the quadratic equation 3x²+x-5=0

Answer 1

This does not look easy to factor, so I'd suggest using the quadratic formula:
        -1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
                               2*3

         -1 plus or minus sqrt(61)
    = ------------------------------------
                             6

Thus, there are 2 real, unequal, irrational roots / solutions.