How do you solve #7x^2+5x+8=0# using the quadratic formula?
No real roots.
Use the new quadratic formula in graphic form (Socratic Search)
y = 7x^2 + 5x + 8 = 0
D = d^2 = b^2 - 4ac = 25 - 224 = - 199 < 0
Because D < 0, there are no real roots.
Note. There are 2 complex roots.