17 simplify
3/(x-5) + 1/ 1 - 4/(x-5)
The non-use of grouping symbols makes this sentence without meaning.
The non-use of grouping symbols makes this sentence without meaning.
3/x-5 +1 / 1 - 4/x-5 = I never know how to write the problems so someone can understnad what I mean, sorry.
I think you need a tutor, a couple of times a week. Perhaps the school has a math lab which can help, but I think a tutor is what you need. Think about it, and don't delay. You are lost in the basics.
I'm sorry if the question was not clear. It seems like you are trying to simplify the expression 3/(x-5) + 1/(1 - 4/(x-5)). To simplify this expression, we need to combine the two fractions with a common denominator.
The common denominator in this case is (x-5)(1), which is just (x-5). So, let's rewrite the expression with the common denominator:
3/(x-5) + 1/(1 - 4/(x-5)) = 3/(x-5) + 1/((x-5)/1 - 4/(x-5))
Next, we need to simplify the denominator of the second fraction. To do this, we can multiply both the numerator and denominator of the second fraction by (x-5) to get rid of the complex fraction:
3/(x-5) + 1/((x-5)/1 - 4/(x-5)) = 3/(x-5) + 1/((x-5)^2/1 - 4)
Simplifying further, we have:
3/(x-5) + 1/((x-5)^2/1 - 4) = 3/(x-5) + 1/((x^2 - 10x + 25)/1 - 4)
Now, we can simplify the expression inside the denominator by subtracting 4 from the numerator:
3/(x-5) + 1/((x^2 - 10x + 25)/1 - 4) = 3/(x-5) + 1/((x^2 - 10x + 25 - 4)/1)
Simplifying the numerator, we have:
3/(x-5) + 1/((x^2 - 10x + 25 - 4)/1) = 3/(x-5) + 1/((x^2 - 10x + 21)/1)
To add the fractions, we need a common denominator in the same way we did before:
3/(x-5) + 1/((x^2 - 10x + 21)/1) = (3(x^2 - 10x + 21))/((x-5)(x^2 - 10x + 21)) + (x-5)/((x^2 - 10x + 21)/1)
Simplifying the numerators, we have:
(3(x^2 - 10x + 21))/((x-5)(x^2 - 10x + 21)) + (x-5)/((x^2 - 10x + 21)/1) = (3x^2 - 30x + 63)/((x-5)(x^2 - 10x + 21)) + (x-5)/((x^2 - 10x + 21)/1)
At this point, the expression cannot be simplified further without factoring the denominator or making further assumptions about the value of x. Therefore, the simplified form is:
(3x^2 - 30x + 63)/((x-5)(x^2 - 10x + 21)) + (x-5)/((x^2 - 10x + 21)/1)
If you have a specific value for x, you can substitute it into the expression to obtain a numerical value.