Respuesta :
Answer:
-2
Step-by-step explanation:
8(-a)^2+24*-a=80
or,8a^2-24a=80
or,8a^2-24a-80=0
or,8(a^2-3a-10)=0
or,a^2-3a-10=0
or,a^2-(5-2)a-10=0
or,a^2-5a+2a-10=0
or,a(a-5)+2(a-5)=0
or,(a-5)(a+2)=0
either,
a-5=0
•°•a=5
or,
a+2=0
•°•a=-2(negative integer)
The value of the unknown integer is -2.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given data eight times the square of a negative integer plus 24 times the negative integer equals 80 in the form of the mathematical expression will be written as:-
8(-a)²+24-a=80
8a²-24a=80
8a²-24a-80=0
8(a²-3a-10)=0
a²-3a-10=0
a²-(5-2)a-10=0
a²-5a+2a-10=0
a(a-5)+2(a-5)=0
(a-5)(a+2)=0
a-5=0
a=5 or, a+2=0 a=-2
Therefore, the value of the unknown integer is -2.
To know more about an expression follow
brainly.com/question/723406
#SPJ5