Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(7)*(sqrt(7)+7*x)/(7*sqrt(7*x^2-4)*(sqrt(7)*x+sqrt(7*x^2-4)))
¿Cómo vas a descomponer esta sqrt(7)*(sqrt(7)+7*x)/(7*sqrt(7*x^2-4)*(sqrt(7)*x+sqrt(7*x^2-4))) expresión en fracciones?
Solución
Ha introducido
[src]
___ / ___ \
\/ 7 *\\/ 7 + 7*x/
-----------------------------------------
__________ / __________\
/ 2 | ___ / 2 |
7*\/ 7*x - 4 *\\/ 7 *x + \/ 7*x - 4 /
$$\frac{\sqrt{7} \left(7 x + \sqrt{7}\right)}{7 \sqrt{7 x^{2} - 4} \left(\sqrt{7} x + \sqrt{7 x^{2} - 4}\right)}$$
(sqrt(7)*(sqrt(7) + 7*x))/(((7*sqrt(7*x^2 - 4))*(sqrt(7)*x + sqrt(7*x^2 - 4))))
Simplificación general
[src]
___
1 + x*\/ 7
----------------------------------
___________
2 ___ / 2
-4 + 7*x + x*\/ 7 *\/ -4 + 7*x
$$\frac{\sqrt{7} x + 1}{7 x^{2} + \sqrt{7} x \sqrt{7 x^{2} - 4} - 4}$$
(1 + x*sqrt(7))/(-4 + 7*x^2 + x*sqrt(7)*sqrt(-4 + 7*x^2))
Respuesta numérica
[src]
0.0539949247156039*(-0.571428571428571 + x^2)^(-0.5)*(7.0 + 18.5202591774521*x)/(2.64575131106459*x + 2.64575131106459*(-0.571428571428571 + x^2)^0.5)
0.0539949247156039*(-0.571428571428571 + x^2)^(-0.5)*(7.0 + 18.5202591774521*x)/(2.64575131106459*x + 2.64575131106459*(-0.571428571428571 + x^2)^0.5)
Denominador común
[src]
___
1 + x*\/ 7
----------------------------------
___________
2 ___ / 2
-4 + 7*x + x*\/ 7 *\/ -4 + 7*x
$$\frac{\sqrt{7} x + 1}{7 x^{2} + \sqrt{7} x \sqrt{7 x^{2} - 4} - 4}$$
(1 + x*sqrt(7))/(-4 + 7*x^2 + x*sqrt(7)*sqrt(-4 + 7*x^2))
Potencias
[src]
___ / ___ \
\/ 7 *\\/ 7 + 7*x/
---------------------------------------------
___________ / ___________ \
/ 2 | / 2 ___|
\/ -4 + 7*x *\7*\/ -4 + 7*x + 7*x*\/ 7 /
$$\frac{\sqrt{7} \left(7 x + \sqrt{7}\right)}{\sqrt{7 x^{2} - 4} \left(7 \sqrt{7} x + 7 \sqrt{7 x^{2} - 4}\right)}$$
sqrt(7)*(sqrt(7) + 7*x)/(sqrt(-4 + 7*x^2)*(7*sqrt(-4 + 7*x^2) + 7*x*sqrt(7)))
Denominador racional
[src]
___________ ___________
2 ___ 3 ___ 2 / 2 ___ / 2
4 - 7*x - 7*\/ 7 *x + 4*x*\/ 7 + 7*x *\/ -4 + 7*x + x*\/ 7 *\/ -4 + 7*x
--------------------------------------------------------------------------------
2
-16 + 28*x
$$\frac{- 7 \sqrt{7} x^{3} + 7 x^{2} \sqrt{7 x^{2} - 4} - 7 x^{2} + \sqrt{7} x \sqrt{7 x^{2} - 4} + 4 \sqrt{7} x + 4}{28 x^{2} - 16}$$
(4 - 7*x^2 - 7*sqrt(7)*x^3 + 4*x*sqrt(7) + 7*x^2*sqrt(-4 + 7*x^2) + x*sqrt(7)*sqrt(-4 + 7*x^2))/(-16 + 28*x^2)