Answer:
The correct option is 2. The solutions of the equation are -6 and 1.
Step-by-step explanation:
The given equation is
[tex]x^2+5x-6=0[/tex]
The quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-5\pm \sqrt{5^2-4(1)(-6)}}{2(1)}[/tex]
[tex]x=\frac{-5\pm \sqrt{49}}{2}[/tex]
[tex]x=\frac{-5\pm 7}{2}[/tex]
The solution of the equations are
[tex]x=\frac{-5+7}{2}=1[/tex]
[tex]x=\frac{-5-7}{2}=-6[/tex]
Therefore the correct option is 2. The solutions of the equation are -6 and 1.