SOLUTION: I need help with this equation, the last portion of the problem is neg. 14 over 2 squared minus 2x. I appreciate your help to solve the problem, I have a test tomorrow.
9/x
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Question 31724: I need help with this equation, the last portion of the problem is neg. 14 over 2 squared minus 2x. I appreciate your help to solve the problem, I have a test tomorrow.
9/x-2 + 7/x = -14/x2 – 2x
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
First, factor the denominator of the third fraction.
Common Denominator is x(x-2)
Add the numerators
Multiply out the denominators
Cross Multiply
FOIL the left side
F: 16x * x^2 = 16x^3
O: 16x * -2x = -32x
I: -14 * x^2 = -14x^2
L: -14 * -2x = 28x
Bring them together
Distribute the -14 on the right side.
Move all parts to the left side
Factor out a 16x
Set all parts = to zero
and
and
and
since no denominator can be equal to zero, and 99.99999 times out of 100 we HATE negative roots, this problem has NO solutions.
I tried this a second way ... and sitll came up with x = 0
This is what I had:
First, factor the denominator of the third fraction.
Common Denominator is x(x-2)
Now that the denominators are the same ... drop them.
Distribute the 7 across the quantity
Combine x terms
add 14 to both sides
Divide by 16
The problem with this is that 0 makes the denominator on the second fraction equal to 0, and division by 0 is undefined.
So for this problem, there is no soulution.
When graphed, it does not cross the x-axis
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