Answer:
{–5.6, –1.4}
Step-by-step explanation:
The quadratic formula is [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]. Here a=1, b=7, and c=8.
Substitute and you'll have:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-7+/-\sqrt{7^2-4(1)(8)} }{2(1)}=\frac{-7+/-\sqrt{49-32} }{2)}[/tex]
[tex]\frac{-7+/-\sqrt{17} }{2}[/tex]
This approximates as:
[tex]\frac{-7 + 4.123}{2} , \frac{-7 - 4.123}{2} \\\\\frac{-3.123}{2} , \frac{-11.123}{2}\\-1.6, -5.6[/tex]