Answer:
The correct options are D and E.
Step-by-step explanation:
The given equation is
[tex]x^2+4x-9=5x+3[/tex]
Subtract 5x+5 from both the sides.
[tex]x^2+4x-9-5x-3=0[/tex]
Combine like terms.
[tex]x^2-x-12=0[/tex]
The middle term can be written as -4x+3x.
[tex]x^2-4x+3x-12=0[/tex]
[tex]x(x-4)+3(x-4)=0[/tex]
[tex](x-4)(x+3)=0[/tex]
Using zero product property, equate each factor equal to 0.
[tex]x-4=0\Rightarrow z=4[/tex]
[tex]x+3=0\Rightarrow z=-3[/tex]
Therefore correct options are D and E.
