Answer:
x=8,3
Step-by-step explanation:
Move
24 to the left side of the equation by adding it to both sides.
x 2−11x+24=0
Factor x2−1 1x+ 24
using the AC method.
(x−8)(x−3)=0
If any individual factor on the left side of the equation is equal to
0 , the entire expression will be equal to 0
x−8=0 x−3=0
Set the first factor equal to
0 and solve.
x =8
Set the next factor equal to 0 and solve.
x = 3
The final solution is all the values that make
( x− 8)(x−3)=0 true.
x =8,3
Solving:
Move constants to the left
[tex]x^2-11x=24\\[/tex]
write as a difference
[tex]x^2-11x+24=0[/tex]
factor
[tex]x^2-3x-8x-+24=0[/tex]
factor again
[tex]x(x-3)-8(x-3)=0[/tex]
separate
[tex](x-3)(x-8)=0[/tex]
solve all possible equations.
[tex]x-3=0\\x-8=0[/tex]
therefore, our answers are:
[tex]x=3,x=8[/tex]
