x^2+22x+96=0
[tex]\frac{-22+\sqrt{22^2-4\cdot \:1\cdot \:96}}{2\cdot \:1}[/tex]
[tex]=\frac{-22+\sqrt{100}}{2\cdot \:1}[/tex]
[tex]=\frac{-22+\sqrt{100}}{2}[/tex]
[tex]=\frac{-22+10}{2}[/tex]
[tex]=\frac{-12}{2}[/tex][tex]=-\frac{12}{2}[/tex] [tex]= -6[/tex]
[tex]\frac{-22-\sqrt{22^2-4\cdot \:1\cdot \:96}}{2\cdot \:1} =[/tex]
[tex]=\frac{-22-\sqrt{100}}{2\cdot \:1}[/tex]
[tex]=\frac{-22-10}{2}[/tex]
[tex]=\frac{-32}{2}[/tex]
[tex]=-16[/tex]
[tex]x_{1}[/tex] = -6
[tex]x_{2}[/tex] =-16