Answer:
The equation has two complex solutions
Step-by-step explanation:
First reorder the terms of the equation:
[tex]x^{2} +3x +7 =0[/tex]
Then find the discriminant:
[tex]\Delta= b^{2} -4ac\\\Delta= 3^{2} -4*3*7\\\\\Delta= -75\\[/tex]
A negative discriminant tells us that the solutions to this equation are complex numbers since there are no real number solutions for negative square roots. In addition, since the discriminant is different than zero, the equation has two complex solutions.
