Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt((-9*w/(w^4-79*w^2+1))^2+(-9*w/(w^4-79*w^2+1))^2)
¿Cómo vas a descomponer esta sqrt((-9*w/(w^4-79*w^2+1))^2+(-9*w/(w^4-79*w^2+1))^2) expresión en fracciones?
Solución
Ha introducido
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_______________________________________
/ 2 2
/ / -9*w \ / -9*w \
/ |--------------| + |--------------|
/ | 4 2 | | 4 2 |
\/ \w - 79*w + 1/ \w - 79*w + 1/
$$\sqrt{\left(\frac{\left(-1\right) 9 w}{\left(w^{4} - 79 w^{2}\right) + 1}\right)^{2} + \left(\frac{\left(-1\right) 9 w}{\left(w^{4} - 79 w^{2}\right) + 1}\right)^{2}}$$
sqrt(((-9*w)/(w^4 - 79*w^2 + 1))^2 + ((-9*w)/(w^4 - 79*w^2 + 1))^2)
Descomposición de una fracción
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9*sqrt(2)*sqrt(w^2/(1 + w^8 - 158*w^2 - 158*w^6 + 6243*w^4))
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{w^{8} - 158 w^{6} + 6243 w^{4} - 158 w^{2} + 1}}$$
____________________________________
/ 2
___ / w
9*\/ 2 * / ----------------------------------
/ 8 2 6 4
\/ 1 + w - 158*w - 158*w + 6243*w
Simplificación general
[src]
___________________
/ 2
___ / w
9*\/ 2 * / -----------------
/ 2
/ / 4 2\
\/ \1 + w - 79*w /
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{\left(w^{4} - 79 w^{2} + 1\right)^{2}}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^4 - 79*w^2)^2)
Respuesta numérica
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0.161112937485542*(w^2/(0.0126582278481013 - w^2 + 0.0126582278481013*w^4)^2)^0.5
0.161112937485542*(w^2/(0.0126582278481013 - w^2 + 0.0126582278481013*w^4)^2)^0.5
Denominador racional
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___________________
/ 2
___ / w
9*\/ 2 * / -----------------
/ 2
/ / 4 2\
\/ \1 + w - 79*w /
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{\left(w^{4} - 79 w^{2} + 1\right)^{2}}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^4 - 79*w^2)^2)
Compilar la expresión
[src]
___________________
/ 2
___ / w
9*\/ 2 * / -----------------
/ 2
/ / 4 2\
\/ \1 + w - 79*w /
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{\left(w^{4} - 79 w^{2} + 1\right)^{2}}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^4 - 79*w^2)^2)
Combinatoria
[src]
____________________________________
/ 2
___ / w
9*\/ 2 * / ----------------------------------
/ 8 2 6 4
\/ 1 + w - 158*w - 158*w + 6243*w
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{w^{8} - 158 w^{6} + 6243 w^{4} - 158 w^{2} + 1}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^8 - 158*w^2 - 158*w^6 + 6243*w^4))
Parte trigonométrica
[src]
___________________
/ 2
___ / w
9*\/ 2 * / -----------------
/ 2
/ / 4 2\
\/ \1 + w - 79*w /
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{\left(w^{4} - 79 w^{2} + 1\right)^{2}}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^4 - 79*w^2)^2)
Potencias
[src]
___________________
/ 2
___ / w
9*\/ 2 * / -----------------
/ 2
/ / 4 2\
\/ \1 + w - 79*w /
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{\left(w^{4} - 79 w^{2} + 1\right)^{2}}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^4 - 79*w^2)^2)
Unión de expresiones racionales
[src]
______________________
/ 2
___ / w
9*\/ 2 * / --------------------
/ 2
/ / 2 / 2\\
\/ \1 + w *\-79 + w //
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{\left(w^{2} \left(w^{2} - 79\right) + 1\right)^{2}}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^2*(-79 + w^2))^2)
Denominador común
[src]
____________________________________
/ 2
___ / w
9*\/ 2 * / ----------------------------------
/ 8 2 6 4
\/ 1 + w - 158*w - 158*w + 6243*w
$$9 \sqrt{2} \sqrt{\frac{w^{2}}{w^{8} - 158 w^{6} + 6243 w^{4} - 158 w^{2} + 1}}$$
9*sqrt(2)*sqrt(w^2/(1 + w^8 - 158*w^2 - 158*w^6 + 6243*w^4))