Answer:
below
Step-by-step explanation:
[tex]x^{2} - x - 6 = 0[/tex] is a quadratic equation so we will use the quadratic formula
[tex]a = 1 \\b = -1 \\c = -6[/tex]
the quadratic formula is [tex]b^{2} - 4ac[/tex]
- [tex]b^{2} - 4ac[/tex] = (-1)²- 4*(1)*(-6) = 25
- 25 is a positive value so the equation has two solutions
[tex]x = \frac{-b - / + \sqrt{25} }{2a}[/tex] ⇒ [tex]\frac{1 -/+ 5}{2}[/tex]
⇒ [tex]x = -2 \\x = 3[/tex]
