3x/x+1=12/xx-1+2
Your questions have gone unanswered because it's pretty clear you have made no attempt on your own.
Once you have shown your work so far, even if it's incomplete, you'll be more likely to get good responses.
i have 3x/x+1=12/x^2-1+2
ans. 3x/x+1=14/x^2-1
3/1=14/x^-1
14/3x^2-1=14/2x^2
x=7/1
this is the answer that i have
You need to combine like terms. Numerals cannot be combined with X terms.
3x/x+1=12/x^2-1+2
x/x cancel each other out.
3 + 1 = 12/x^2 + 1
Subtract 1 from each side.
3 = 12/x^2
Multiply both sides by x^2.
3x^2 = 12
Divide both sides by 3.
x^2 = 4
x = 2
Possibly these sources might help:
http://www.algebrahelp.com/lessons/simplifying/oops/
http://northpark.edu/math/PreCalculus/rules.html
http://mathforum.org/dr.math/faq/faq.order.operations.html
Use the same principles in your other problems. I hope this helps. Thanks for asking.
To solve the equation 3x/(x+1) = 12/(x(x-1) + 2), we need to simplify the equation, clear the denominators, and solve for x.
Let's start by simplifying the expression on both sides of the equation:
3x/(x+1) = 12/(x^2 - x + 2)
Next, we will clear the denominators by multiplying both sides of the equation by the least common denominator (LCD), which is (x+1)(x^2 - x + 2):
[(x+1)(x^2 - x + 2)] * (3x/(x+1)) = [(x+1)(x^2 - x + 2)] * (12/(x^2 - x + 2))
Cancelling out the common factors on both sides, we get:
3x(x^2 - x + 2) = 12(x+1)
Expanding, we have:
3x^3 - 3x^2 + 6x = 12x + 12
Now, let's simplify the equation further:
3x^3 - 3x^2 + 6x - 12x - 12 = 0
Combining like terms, we have:
3x^3 - 3x^2 - 6x - 12 = 0
Now, we need to solve this cubic equation. There isn't a general formula for solving cubic equations like there is for quadratic equations, but we can use various methods such as factoring, synthetic division, or numerical methods to find the solutions.
Without more information or context about the equation, it is not possible to provide an exact solution for x. However, you can use numerical methods, such as graphing the equation or using a numerical solver, to approximate the solutions.
Alternatively, if there is a mistake in the equation you provided, please double-check it and provide the correct equation so that we can help you solve it accurately.