Answer:
(-7 ± [tex]i[/tex]√(-23)) / 4
Step-by-step explanation:
Unless you have to show your work, you don't really have to use the quadratic formula unless it is unfactorable.
2x² + 9 = -7x (Add 7x to both sides)
2x² + 7x + 9 = 0 ( The quadratic formula is (-b ± √(b^2 - 4ac))/2a )
A = 2
B = 7
C = 9
(-7 ± √(49 - 72))/4
= (-7 ± √(-23))/4 (Which simplifies to an imaginary answer, proving that this is, indeed, unfactorable)
= (-7 ± [tex]i[/tex]√(-23))/4
