I dont know if you wanted the steps but:
x^2-4x-6=0
plug it into the equation:
[tex] \frac{-(-4)\sqrt{(-4)^2-4(1)(-6)}}{2(1)} [/tex]
[tex] [tex] \frac{4\sqrt{40}}{2} [/tex] [/tex]
[tex] \frac{4+2\sqrt{10}}{2} \frac{4-2\sqrt{10}}{2} [/tex]
[tex] x=2+\sqrt{10} [/tex]
[tex] x=2-\sqrt{10} [/tex]
x^2-4/3x+1/3 x=1 , x= 1/3
2x^2-3x+1=0 x=1 , x=1/2
6x^2+12x=-5
add the 5 to both sides
6x²+12x+5=0 plug the problem into the equation
x=[tex] \frac{-12\sqrt{12^{2}-4(6)(5)}}{2(6)} [/tex]
x=[[tex] \frac{-12\sqrt{144-120}}{12} [/tex]
x=[tex] \frac{-12\sqrt{24}}{12} [/tex]
x=[tex] \frac{-12+2\sqrt{6}}{12} [/tex] x=[tex] \frac{-12-2\sqrt{6}}{12} [/tex]
[tex] \frac{-6+2\sqrt{6}}{6} \frac{-6-2\sqrt{6}}{6} [/tex]
