Question

PLEASE ANSWER RN PLSSS Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x2 + 8x – 308 = 0 x2 – 8x + 308 = 0 x2 + 8x + 308 = 0 x2 − 8x − 308 = 0

Answer 1

x2 + 8x – 308 = 0

Explanation:

its A on edge

Answer 2

The correct equation to solve for "x" is:

`x^2+8x-308=0`

(first option in your list)

Explanation:

Let's say that since the integers in question are separated on the number line, we can call them x, and y with for example y being the larger one (two the right of x on the number line). Since the two integers are 8 units apart, then we can write in mathematical form:

y - x = 8 (because y is the larger of the two numbers)

and solving for "y" we get:

y = x + 8

we also know that their product is 308, which we can write in the following form:

x * y = 308

Now, replacing y by "x + 8", we get:

`x*y=308\\x\,(x+8)=308\\x^2+8x=308\\x^2+8x-308=0`

Therefore, the correct equation is the first one listed among your answer options.