Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
The greatest common factor is 18
<u>Answer-</u>
<u>Solution-</u>
From the attachment,
AD = AE, so FA is a median.
BD = BF, so BE is a median.
CF = CE, so DC is a median.
And G is the centroid.
From the properties of centroid, we know that
The centroid divides each median in a ratio of 2:1
So,
So, GB will be units
The answer for the blank space is 21.8