30/x^2-25 = 3/x-5-2/x+5
i be left with
30 = 3x^2-75-2x^2+50
i not sure what to do? i use the quadratic formula?
math-calculus - Steve, Saturday, January 7, 2012 at 3:38pm
First, you have to simplify properly:
30/(x^2-25) = 3/(x-5) - 2/(x+5)
30 = 3(x+5) - 2(x-5)
You were ok multiplying through by x^2 - 25 but you then discarded the denominators on the right, which was incorrect.
3(x^2-25)/(x-5) = 3(x+5)
Anyway, now we are just left with
30 = 3(x+5) - 2(x-5)
which I'm sure you can solve. Just make sure your answer is not 5 or -5, because the original equation is undefined there. The fraction 3/(x-5) is not defined when x=5.
math-calculus - Shreya, Saturday, January 7, 2012 at 5:37pm
thanks Steve but i think im still messing up. i got 30 = x+30
and if i subtract 30 from each side then i only left with x that be no solution. i think i not doing something right.
30 = 3(x+5) - 2(x-5)
30 = 3 x + 15 - 2x + 10
15 = x + 10
5 = x
THERE IS NO SOLUTION
because 3/(5-5) is division by zero
thank you so much damon :)
To solve the equation
30/(x^2-25) = 3/(x-5) - 2/(x+5)
Here's how to simplify and solve it correctly:
Step 1: Simplify the equation by multiplying through by the denominators on the left side:
30 = 3(x-5) - 2(x+5)
Step 2: Expand the expressions on the right side:
30 = 3x - 15 - 2x - 10
Step 3: Combine like terms:
30 = x - 25
Step 4: Move all terms to one side to set it equal to zero:
0 = x - 25 - 30
0 = x - 55
Step 5: Simplify further:
x = 55
So, the solution to the equation is x = 55.
In your previous attempt, you got 30 = x + 30 which is incorrect. It seems like you made a mistake while expanding the expression on the right side. Make sure to distribute the negative sign in 2(x+5) correctly, which would result in -2x - 10. By solving the equation correctly, we get x=55 as the solution, which is different from your earlier result.