Answer:
Final answer iis choice B) [tex]x=\frac{-3\pm i\sqrt{55}}{4}[/tex]
Step-by-step explanation:
[tex]2x^2 + 3x =-8[/tex]
[tex]2x^2 + 3x +8 = 0[/tex]
Compare with quadratic equation [tex]ax^2 + bx +c = 0[/tex], we get:
a=2, b=3, c=8
Now plug these values into quadratic formula:
[tex]x=\frac{-3\pm \sqrt{\left(3\right)^2-4\left(2\right)\left(8\right)}}{2\left(2\right)}[/tex]
[tex]x=\frac{-3\pm \sqrt{9-64}}{4}[/tex]
[tex]x=\frac{-3\pm \sqrt{-55}}{4}[/tex]
[tex]x=\frac{-3\pm i\sqrt{55}}{4}[/tex]
Hence final answer iis choice B) [tex]x=\frac{-3\pm i\sqrt{55}}{4}[/tex]
