Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(x)/(m-16)-sqrt(m)/(4-sqrt(m))^2
¿Cómo vas a descomponer esta sqrt(x)/(m-16)-sqrt(m)/(4-sqrt(m))^2 expresión en fracciones?
Solución
Ha introducido
[src]
___ ___
\/ x \/ m
------ - ------------
m - 16 2
/ ___\
\4 - \/ m /
$$- \frac{\sqrt{m}}{\left(4 - \sqrt{m}\right)^{2}} + \frac{\sqrt{x}}{m - 16}$$
sqrt(x)/(m - 16) - sqrt(m)/(4 - sqrt(m))^2
Simplificación general
[src]
2
___ ___ / ___\
\/ m *(16 - m) + \/ x *\-4 + \/ m /
------------------------------------
2
/ ___\
(-16 + m)*\-4 + \/ m /
$$\frac{\sqrt{m} \left(16 - m\right) + \sqrt{x} \left(\sqrt{m} - 4\right)^{2}}{\left(\sqrt{m} - 4\right)^{2} \left(m - 16\right)}$$
(sqrt(m)*(16 - m) + sqrt(x)*(-4 + sqrt(m))^2)/((-16 + m)*(-4 + sqrt(m))^2)
Respuesta numérica
[src]
x^0.5/(-16.0 + m) - 0.0625*m^0.5/(1 - 0.25*m^0.5)^2
x^0.5/(-16.0 + m) - 0.0625*m^0.5/(1 - 0.25*m^0.5)^2
Denominador racional
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2 2 2 2
3/2 / ___\ ___ / ___\ ___ / ___\ / ___\
- m *\4 + \/ m / + 16*\/ m *\4 + \/ m / + \/ x *\-4 + \/ m / *\4 + \/ m /
------------------------------------------------------------------------------
3
(-16 + m)
$$\frac{- m^{\frac{3}{2}} \left(\sqrt{m} + 4\right)^{2} + 16 \sqrt{m} \left(\sqrt{m} + 4\right)^{2} + \sqrt{x} \left(\sqrt{m} - 4\right)^{2} \left(\sqrt{m} + 4\right)^{2}}{\left(m - 16\right)^{3}}$$
(-m^(3/2)*(4 + sqrt(m))^2 + 16*sqrt(m)*(4 + sqrt(m))^2 + sqrt(x)*(-4 + sqrt(m))^2*(4 + sqrt(m))^2)/(-16 + m)^3
Combinatoria
[src]
3/2 ___ ___ ___ ___ ___
- m + 16*\/ m + 16*\/ x + m*\/ x - 8*\/ m *\/ x
------------------------------------------------------
2
/ ___\
(-16 + m)*\-4 + \/ m /
$$\frac{- m^{\frac{3}{2}} - 8 \sqrt{m} \sqrt{x} + 16 \sqrt{m} + m \sqrt{x} + 16 \sqrt{x}}{\left(\sqrt{m} - 4\right)^{2} \left(m - 16\right)}$$
(-m^(3/2) + 16*sqrt(m) + 16*sqrt(x) + m*sqrt(x) - 8*sqrt(m)*sqrt(x))/((-16 + m)*(-4 + sqrt(m))^2)
Unión de expresiones racionales
[src]
2
___ / ___\ ___
\/ x *\4 - \/ m / - \/ m *(-16 + m)
------------------------------------
2
/ ___\
(-16 + m)*\4 - \/ m /
$$\frac{- \sqrt{m} \left(m - 16\right) + \sqrt{x} \left(4 - \sqrt{m}\right)^{2}}{\left(4 - \sqrt{m}\right)^{2} \left(m - 16\right)}$$
(sqrt(x)*(4 - sqrt(m))^2 - sqrt(m)*(-16 + m))/((-16 + m)*(4 - sqrt(m))^2)
Denominador común
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3/2 ___ ___ ___ ___ ___
- m + 16*\/ m + 16*\/ x + m*\/ x - 8*\/ m *\/ x
------------------------------------------------------
2 3/2 ___
-256 + m - 8*m + 128*\/ m
$$\frac{- m^{\frac{3}{2}} - 8 \sqrt{m} \sqrt{x} + 16 \sqrt{m} + m \sqrt{x} + 16 \sqrt{x}}{- 8 m^{\frac{3}{2}} + 128 \sqrt{m} + m^{2} - 256}$$
(-m^(3/2) + 16*sqrt(m) + 16*sqrt(x) + m*sqrt(x) - 8*sqrt(m)*sqrt(x))/(-256 + m^2 - 8*m^(3/2) + 128*sqrt(m))