SOLUTION: 1.) (7x+1)/(2x+5) + 1 = (10x-3)/3x 2.) 10/(x^2-2x) + 4/x = 5/(x-2)

Algebra ->  Radicals -> SOLUTION: 1.) (7x+1)/(2x+5) + 1 = (10x-3)/3x 2.) 10/(x^2-2x) + 4/x = 5/(x-2)      Log On


   

Question 111024: 1.) (7x+1)/(2x+5) + 1 = (10x-3)/3x
2.) 10/(x^2-2x) + 4/x = 5/(x-2)
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
%287x%2B1%29%2F%282x%2B5%29+%2B+1+=+%2810x-3%29%2F3x
2x%2B5%28%287x%2B1%29%2F%282x%2B5%29+%2B+1%29=2x%2B5%28%2810x-3%29%2F3x%29
%287x%2B1%29%2B1%282x%2B5%29=%28%282x%2B5%29%2810x-3%29%29%2F3x
%287x%2B1%29%2B%282x%2B5%29=%28%282x%2B5%29%2810x-3%29%29%2F3x
%287x%2B2x%29%2B%285%2B1%29=%28%282x%2B5%29%2810x-3%29%29%2F3x
9x%2B6=%28%282x%2B5%29%2810x-3%29%29%2F3x
3x%289x%2B6%29=3x%28%28%282x%2B5%29%2810x-3%29%29%2F3x%29
27x%5E2%2B18x=%282x%2B5%29%2810x-3%29
27x%5E2%2B18x=2x%2810x-3%29%2B5%2810x-3%29
27x%5E2%2B18x=%2820x%5E2-6x%29%2B%2850x-15%29
27x%5E2%2B18x=20x%5E2%2B%28-6x%2B50x%29-15
27x%5E2%2B18x=20x%5E2%2B44x-15
27x%5E2-20x%5E2%2B18x=20x%5E2-20x%5E2%2B44x-15
7x%5E2%2B18x=0%2B44x-15
7x%5E2%2B18x=44x-15
7x%5E2%2B18x-44x=44x-44x-15
7x%5E2-26x=0-15
7x%5E2-26x=-15
7x%5E2-26x%2B15=0
Using the quadratic formula,
x=%2826%2B-sqrt%2826%5E2-4%2A7%2A15%29%29%2F%282%2A7%29
x=%2826%2B-sqrt%28676-420%29%29%2F%2814%29
x=%2826%2B-sqrt%28256%29%29%2F%2814%29
x=%2826%2B-+16%29%2F%2814%29
x=%2826%2B16%29%2F%2814%29 OR x=%2826-16%29%2F%2814%29
x=42%2F14=3 or x=10%2F14=5%2F7
Hey, I just continue this later. Ook?

...to be continued...