Answer:
B. x = 1
C. x = 6
Step-by-step explanation:
The equation
[tex]x^2 - 7x = -24/4[/tex]
is the same as
[tex]x^2 - 7x = -6[/tex]
We will verify which of the options meets this.
is [tex]x=12[/tex], the equation will be
[tex](12)^2 - 7(12) [/tex]
[tex]144 - 84 [/tex]
[tex]60 [/tex]
since is not equal to [tex]-6[/tex] this is not a solution.
is [tex]x=1[/tex], the equation will be
[tex](1)^2 - 7(1) [/tex]
[tex]1 - 7 [/tex]
[tex]-6[/tex]
since is equal to [tex]-6[/tex] this is a solution.
is [tex]x=6[/tex], the equation will be
[tex](6)^2 - 7(6) [/tex]
[tex]36 - 42 [/tex]
[tex]-6[/tex]
since is equal to [tex]-6[/tex] this is a solution.
is [tex]x=2[/tex], the equation will be
[tex](2)^2 - 7(2) [/tex]
[tex]4 - 14 [/tex]
[tex]-10[/tex]
since is not equal to [tex]-6[/tex] this is not a solution.
the solutions are: [tex]x=1[/tex] and [tex]x=6[/tex] which are options B and C
