Answer:
[tex]x = 3+\sqrt{17}, 3-\sqrt{17}[/tex]
x = 7.1, -1.1
Step-by-step explanation:
-x^2 - 6x - 8 = -2x^2
Add 2x^2 to both sides:
x^2 - 6x - 8 = 0
Now we have to use the quadratic formula.
[tex]x = \frac{-b +- \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x = \frac{6 +- \sqrt{6^{2}-4(-8)} }{2}[/tex]
[tex]x = \frac{6 +- \sqrt{36+32} }{2}[/tex]
[tex]x = \frac{6 +- \sqrt{68} }{2}[/tex]
[tex]x = \frac{6 +-2 \sqrt{17} }{2}[/tex]
[tex]x = 3+-\sqrt{17}[/tex]
