Answer:
[tex]x=\frac{3+/-\sqrt{5} }{2}[/tex]
Step-by-step explanation:
To find the roots of the equation, factor the equation and set each factor equal to 0 or use the quadratic equations. The quadratic expression does not factor and must be solved using the quadratic formula.
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
where a = 1, b=-3, and c=1
[tex]x=\frac{-(-3)+/-\sqrt{(-3)^2-4(1)(1)} }{2(1)} \\x=\frac{3+/-\sqrt{9-4)} }{2} \\x=\frac{3+/-\sqrt{5} }{2}[/tex]
