Answer:
[tex]\frac{-1+-\sqrt{41} }{4}[/tex] (Third Option)
Step-by-step explanation:
Step 1: Use quadratic formula with a = 2, b = 1, c = -5.
- [tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
- [tex]x = \frac{-(1)+-\sqrt{(1)^2-4(2)(-5)} }{2(2)}[/tex]
- [tex]x = \frac{-1+-\sqrt{1-8(5)}}{4}[/tex]
- [tex]x = \frac{-1+-\sqrt{1-40} }{4}[/tex]
- [tex]x = \frac{-1+-\sqrt{41} }{4}[/tex]
Therefore, the answer is the third option, [tex]\frac{-1+-\sqrt{41} }{4}[/tex].
