- #1
thomas49th
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Homework Statement
Express:
[tex]\frac{1}{x-2}+\frac{2}{x+4}[/tex]
The Attempt at a Solution
Well I got x² + 2x - 11 = 0
but I think that is wrong
It shouldn't equal anything :-/thomas49th said:Homework Statement
Express:
[tex]\frac{1}{x-2}+\frac{2}{x+4}[/tex]The Attempt at a Solution
Well I got x² + 2x - 11 = 0
but I think that is wrong
thomas49th said:1 + 2 = (x-2)(x+4)
3 = x² + 2x - 8
then take 3 from both sides gives you the answer I previsouly posted... bust that doesn't seem right as how do I kow
[ex]\frac{1}{x-2}+\frac{2}{x+4}[/tex] = 1
is equal to 1
To express a sum as a single algebraic fraction, you must first find a common denominator for all the fractions in the sum. Then, you can combine the numerators of each fraction and write it as one fraction over the common denominator.
Expressing a sum as a single algebraic fraction means to simplify a mathematical expression that contains multiple fractions by rewriting it as one fraction.
Expressing a sum as a single algebraic fraction can make it easier to solve or manipulate the expression, as it simplifies the overall equation. It can also make the expression more compact and easier to understand.
Sure, for the expression 1/2 + 1/4, we can find the common denominator to be 4. So, we can rewrite the expression as (1*2)/(2*2) + (1*1)/(4*1) = 2/4 + 1/4 = 3/4. Therefore, the sum 1/2 + 1/4 can be expressed as the single algebraic fraction 3/4.
Yes, to express a sum as a single algebraic fraction, you must first find a common denominator for all the fractions in the sum. Then, you can combine the numerators of each fraction and write it as one fraction over the common denominator. Finally, the fraction can be simplified if possible by canceling out any common factors between the numerator and denominator.