how can I solve this equation by first finding the LCD
1/2+1/x=1/6+1/3x
1 + 12/x=x
2007-05-12 16:27:32 · 3 answers · asked by LEINICK 1 in Science & Mathematics ➔ Mathematics
1/2 + 1/x = 1/6 + 1/3x
denominators: 2, x, 2*3, 3x; LCD = 2*3x = 6x
Multiply each term by this LCD, collect like terms, and solve for x.
1 + 12/x = x
Here the LCD is x
Solve as above.
2007-05-12 16:42:45 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
yeah this is stable. now, multiply the 1st fraction (staggering and backside) via (x+2) and the 2d via (x-2). then u could get 3x(x+2) / (x-2)(x+2) + one million(x-2)/(x+2)(x-2) (be conscious: it is barely for the left area, do not touch the splendid area yet) for the left area, after u distribute and combine like words u could have: (3x^2 + 7x -2) / (x+2) (x-2) now for the splendid: u can element out the denominator utilising distinction of squares, for that reason x^2 -4 = (x+2)(x-2) for the splendid area u could have: -4 / (x+2)(x-2) now write the full expression down: (3x^2 + 7x -2) / (x+2) (x-2) = -4 / (x+2)(x-2) be conscious that the denominators are an identical, for that reason u can do away with all them. now u could have: 3x^2 + 7x -2 = -4 now upload 4 to the two facets of the equation: 3x^2 + 7x +2 = 0 the final step is to element this quadratic equation, for that reason (3x+one million)(x+2)=0 set each and each linear element equivalent to 0, and remedy for this reason, x= - one million/3 and x= -2
2016-12-11 07:56:50 · answer #2 · answered by jaffe 4 · 0⤊ 0⤋
The first one is 6x at the botton.
the second one is x.
Any ? drop me a few line.
2007-05-12 16:31:46 · answer #3 · answered by Bounce Up 3 · 0⤊ 0⤋