Answer:
Therefore the two negative integers are - 22, - 14.
Step-by-step explanation:
Given that, two negative number are are 8 units apart.
Let x be a negative integer one of them.
Then the another integer be (x+8)
Given that the product of them is 308.
According to the problem,
[tex]x(x+8)=308[/tex]
[tex]\Rightarrow x^2+8x=308[/tex]
[tex]\Rightarrow x^2+22x-14x-308=0[/tex]
[tex]\Rightarrow x(x+22)-14(x+22)=0[/tex]
[tex]\Rightarrow (x+22)(x-14)=0[/tex]
[tex]\Rightarrow x=-22,14[/tex]
Since x is a negative integer.
∴x = - 22.
Then another integer is =( - 22+8) = -14
Therefore the two negative integers are - 22, - 14.
