7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
<u>ANSWER</u>: The centroid is (1,3)
<u>Explanation:</u>
The centroid is the intersection of the medians of the triangle.
So we need to find the equation of any two of the medians and solve simultaneously.
Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.
We find the midpoint of AC using the formula;
The equation of the median passes through 
and .
This line is parallel to the y-axis hence has equation
-------first median.
We also find the midpoint M of BC.
The slope of the median, AM is
The equation of the median AM is given by;
We use the point M and the slope of AM.
-------Second median
We now solve the equation of the two medians simultaneously by putting in to the equation of the second median.
Hence the centroid has coordinates 
Answer:
its 30 the a in thst problem is silents
Step-by-step explanation:
