What kind of solutions does #5x^2 + 8x + 7 = 0# have?
Quadratic has no real solutions
The key realization is that our quadratic is of the form
In our quadratic, we know
Notice, our discriminant is less than zero, so we are in scenario
Hope this helps!
The roots are all complex numbers.
The quadratic equation is
Substituting, we get
Here, we can already tell that the answers will be complex numbers. If you want to simplify further...