Sr Examen
¿Cómo vas a descomponer esta Abs((x^2-100*n)/(4*x^2-1)-1/4) expresión en fracciones?
Solución
Ha introducido
[src]
| 2 | |x - 100*n 1| |---------- - -| | 2 4| | 4*x - 1 |
$$\left|{\frac{- 100 n + x^{2}}{4 x^{2} - 1} - \frac{1}{4}}\right|$$
Abs((x^2 - 100*n)/(4*x^2 - 1) - 1/4)
Simplificación general
[src]
|-1 + 400*n|
|----------|
| 2 |
|-1 + 4*x |
------------
4
$$\frac{\left|{\frac{400 n - 1}{4 x^{2} - 1}}\right|}{4}$$
Abs((-1 + 400*n)/(-1 + 4*x^2))/4
Descomposición de una fracción
[src]
Abs(1/4 - x^2/(4*x^2 - 1) + 100*n/(4*x^2 - 1))
$$\left|{\frac{100 n}{4 x^{2} - 1} - \frac{x^{2}}{4 x^{2} - 1} + \frac{1}{4}}\right|$$
| 2 | |1 x 100*n | |- - -------- + --------| |4 2 2 | | 4*x - 1 4*x - 1|
Denominador racional
[src]
|-1 + 400*n|
|----------|
| 2 |
| 4*x - 1 |
------------
4
$$\frac{\left|{\frac{400 n - 1}{4 x^{2} - 1}}\right|}{4}$$
Abs((-1 + 400*n)/(4*x^2 - 1))/4
Denominador común
[src]
| 2 | |1 x 100*n | |- - --------- + ---------| |4 2 2| | -1 + 4*x -1 + 4*x |
$$\left|{\frac{100 n}{4 x^{2} - 1} - \frac{x^{2}}{4 x^{2} - 1} + \frac{1}{4}}\right|$$
Abs(1/4 - x^2/(-1 + 4*x^2) + 100*n/(-1 + 4*x^2))
Unión de expresiones racionales
[src]
|-1 + 400*n|
|----------|
| 2 |
|-1 + 4*x |
------------
4
$$\frac{\left|{\frac{400 n - 1}{4 x^{2} - 1}}\right|}{4}$$
Abs((-1 + 400*n)/(-1 + 4*x^2))/4
Combinatoria
[src]
| 2 | |1 x 100*n | |- - --------- + ---------| |4 2 2| | -1 + 4*x -1 + 4*x |
$$\left|{\frac{100 n}{4 x^{2} - 1} - \frac{x^{2}}{4 x^{2} - 1} + \frac{1}{4}}\right|$$
Abs(1/4 - x^2/(-1 + 4*x^2) + 100*n/(-1 + 4*x^2))