I am stuck, pleas help, i have the example but I am still not able to figure it out...
Find the value of X...5/x+6+2/x^2+7x+6=3/X+1
Find the value of X...2/5=x-2/20
First, get the X terms on one side of the equation and the numbers on the other.
2/5=X-2/20
2/5+2/20 = X
Change the numbers to get a common denominator.
4/10+1/10 = X
Combine and reduce.
X = 5/10 = 1/2 = .5
5/x+6+2/x^2+7x+6=3/X+1
Get the X terms on one side of the equation and the numbers on the other.
5/X+2/X^2+7X-3/X = -11
Multiply both sides by X^2.
5X+2+7X^3-3X = -11X^2
Again, get the X terms on one side of the equation and the numbers on the other.
7X^3+11X^2+2X = -2
X(7X^2+11X+2) = -2
Unless there are typos in your equation, this as much as I can do.
I hope this helps. Thanks for asking.
Thank you very much!!
Thank You!!!
"Helpless again", see how the lack of proper brackets can wreck a question.
PsyDAG followed the order of operation exactly the way you typed it, and it led to a point where we cannot solve the equation.
Had you typed it the way it was probably meant to be...
5/(x+6) + 2/(x^2 + 7x + 6) = 3/(x+1)
the second term factors at the bottom
5/(x+6) + 2/((x+1)(x+6)) = 3/(x+1)
multiplying every term by (x+1)(x+6)...
5(x+1) + 2 = 3(x+6) now it's a little grade nine equation for
x=11/2
I apologize for the confusion earlier. Thank you for pointing out the mistake in the original equation.
To solve the equation 5/(x+6) + 2/((x^2 + 7x + 6)) = 3/(x+1):
1. Start by factoring the denominator x^2 + 7x + 6 to get (x+1)(x+6).
2. Multiply every term in the equation by (x+1)(x+6) to eliminate the denominators.
(x+1)(x+6)(5/(x+6) + 2/((x+1)(x+6))) = (x+1)(x+6)(3/(x+1))
This simplifies to: 5(x+1) + 2 = 3(x+6).
3. Distribute and combine like terms: 5x + 5 + 2 = 3x + 18.
This becomes: 5x + 7 = 3x + 18.
4. Subtract 3x from both sides: 5x - 3x + 7 = 3x - 3x + 18.
Simplifying gives: 2x + 7 = 18.
5. Subtract 7 from both sides: 2x + 7 - 7 = 18 - 7.
This becomes: 2x = 11.
6. Divide by 2: 2x/2 = 11/2.
The solution is: x = 11/2 or x = 5.5.
I apologize once again for the earlier confusion, and I hope this helps!