Answer: x= 1, [tex]\frac{1}{5\\}[/tex]
Step-by-step explanation:
The quadratic equation is
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
and
[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So we just need to sub in the proper numbers from the equation given, in this case, it would result in
[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
and
[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers
x= 1, [tex]\frac{1}{5\\}[/tex]