factor
erm, nope
use quadraticc formula
for
0=ax²+bx+c
[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]
so
given
0=1x²-7x+3
a=1
b=-7
c=3
[tex]x=\frac{-(-7)+/-\sqrt{(-7)^2-4(1)(3)}}{2(1)}[/tex]
[tex]x=\frac{7+/-\sqrt{49-12}}{2}[/tex]
[tex]x=\frac{7+/-\sqrt{37}}{2}[/tex]
[tex]x=\frac{7+/-\sqrt{37}}{2}[/tex]
the solutions are [tex]x=\frac{7+\sqrt{37}}{2}[/tex] and [tex]x=\frac{7-\sqrt{37}}{2}[/tex]
the smaller solution will be [tex]x=\frac{7-\sqrt{37}}{2}[/tex]
