Answer:
(1-[tex]\sqrt{33}[/tex])/4 and (1+[tex]\sqrt{33}[/tex])/4
Step-by-step explanation:
-2x^2 + x + 4 = 0
use quadratic formula x= (-b±[tex]\sqrt{b^{2} -4ac}[/tex] ) / 2a
a=-2
b=1
c=4
x= (-1±[tex]\sqrt{1^{2} -4(-2)(4)}[/tex] ) / 2(-2)
x=(-1±[tex]\sqrt{33}[/tex] ) / -4
x=(1 -[tex]\sqrt{33}[/tex]) / 4 and (1 +[tex]\sqrt{33}[/tex]) / 4