Answer:
Factoring: (x+4)(x-6), x=-4 or x=6
Quadratic formula: x=6 or x=-4
Step-by-step explanation:
Factoring: (Reverse foil)
x^2-2x-24
because there are two - sign then we know it is
(x+ something)(x- something)
looking at the factors of 24 we can see that 6 and 4 are factors and 6-4=2 so
(x-6)(x+4)must be the factored form.
However the sign of x values in factored form changes when not in parenthesis so it would become x=6, and x=-4
Quadratic formula:
the quadratic formula is [-(b)+or-sqrt(b^2-4(a)(c)]/2(a)
in this case a=1, b=-2, c=-24 so it would be
[2+or-sqrt-2^2-4(1)(-24)]/2(1)=
[2+or-sqrt4-(-96)]/2=
[2+or-sqrt100]/2=
[2+or-10]/2=
1+or-5=
1+5 or 1-5
so x=6 or x=-4
