Answer:
Step-by-step explanation:
(A) The given equation is:
[tex](x+3)(x+2)=0[/tex]
The above equation can be solved using the zero product property which states that if [tex]ab=0[/tex], then either [tex]a=0[/tex] or [tex]b=0[/tex] or both can be equal to zero, therefore the solution of the above equation will be:
[tex]x=-3[/tex] or [tex]x=-2[/tex].
(B) The given equation is:
[tex]x^2+6=31[/tex]
The above equation can be solved using the square root property which states that we isolate the [tex]x^2[/tex] term and take the square root of the number on the other side of the equals sign, therefore the solution of the above equation will be:
[tex]x^2=31-6[/tex]
[tex]x^2=25[/tex]
[tex]x={\pm}5[/tex].
