Answer:
x = 4
Explanation:
The image provided below, I find very helpful when trying to solve difficult problems such as this one.
We use the same relationship, the only difference is we are given expressions and numbers for the segments
If the product of the segments in one chord equal the product of the segments in the other chord then,
x * 6 = 8 * ( x - 1 )
Or 6x = 8 ( x - 1 )
Now we solve for
Step 1 distribute the 8
8 * x = 8x
8 * -1 = -8
We now have 6x = 8x - 8
step 2 subtract 8x from each side
6x - 8x = -2x
8x - 8x cancels out
we now have -2x = -8
step 3 divide each side by -2
-2x / -2 = x
-8 / - 2 = -4
we're left with x = 4