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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
- Integral de d{x}:
- x^2-4
- Derivada de:
-
x^2-4
- Gráfico de la función y =:
-
x^2-4
- sqrtx+4
-
Expresiones idénticas
- x^ dos - cuatro =sqrtx+ cuatro
- x al cuadrado menos 4 es igual a raíz cuadrada de x más 4
- x en el grado dos menos cuatro es igual a raíz cuadrada de x más cuatro
- x^2-4=√x+4
- x2-4=sqrtx+4
- x²-4=sqrtx+4
- x en el grado 2-4=sqrtx+4
-
Expresiones semejantes
- sqrt(x+4)=sqrt3x
- 4sqtr(x)-(a+5)2sqrt(x)+4a+4=0
- x^2+4=sqrtx+4
- x^2-4=sqrtx-4
- log(x-3)/log2=4-sqrt(x+4)
- sqrt(x+4)=a-2
-
Expresiones con funciones
- sqrtx
- sqrtx-2/3=0
- sqrtx-2sqrt2x+1=sqrt3
- sqrtx–4=16
- sqrtx=sqrtx-4
- sqrtx-1+sqrtx+2=0
x^2-4=sqrtx+4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 64 / 65563 \/ 393297 2 512
/ -- - 2*3 / ----- + ---------- + -------------------------------------------------------------------------- - ---------------------------
________________________________________________________________ / 3 \/ 432 144 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 65563 \/ 393297
/ 32 / 65563 \/ 393297 512 / / 32 / 65563 \/ 393297 512 9*3 / ----- + ----------
/ -- + 2*3 / ----- + ---------- + --------------------------- / / -- + 2*3 / ----- + ---------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ____________________ / / 3 \/ 432 144 ____________________
/ / ________ / / / ________
/ / 65563 \/ 393297 / / / 65563 \/ 393297
/ 9*3 / ----- + ---------- / / 9*3 / ----- + ----------
\/ \/ 432 144 \/ \/ \/ 432 144
x1 = -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}} - \frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{2}{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}} + \frac{64}{3}}}{2} + \frac{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}}{2}$$
x1 = sqrt(-2*(sqrt(393297)/144 + 65563/432)^(1/3) - 512/(9*(sqrt(393297)/144 + 65563/432)^(1/3)) + 2/sqrt(512/(9*(sqrt(393297)/144 + 65563/432)^(1/3)) + 32/3 + 2*(sqrt(393297)/144 + 65563/432)^(1/3)) + 64/3)/2 + sqrt(512/(9*(sqrt(393297)/144 + 65563/432)^(1/3)) + 32/3 + 2*(sqrt(393297)/144 + 65563/432)^(1/3))/2
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 64 / 65563 \/ 393297 2 512
/ -- - 2*3 / ----- + ---------- + -------------------------------------------------------------------------- - ---------------------------
________________________________________________________________ / 3 \/ 432 144 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 65563 \/ 393297
/ 32 / 65563 \/ 393297 512 / / 32 / 65563 \/ 393297 512 9*3 / ----- + ----------
/ -- + 2*3 / ----- + ---------- + --------------------------- / / -- + 2*3 / ----- + ---------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ____________________ / / 3 \/ 432 144 ____________________
/ / ________ / / / ________
/ / 65563 \/ 393297 / / / 65563 \/ 393297
/ 9*3 / ----- + ---------- / / 9*3 / ----- + ----------
\/ \/ 432 144 \/ \/ \/ 432 144
-------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}} - \frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{2}{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}} + \frac{64}{3}}}{2} + \frac{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}}{2}$$
=
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 64 / 65563 \/ 393297 2 512
/ -- - 2*3 / ----- + ---------- + -------------------------------------------------------------------------- - ---------------------------
________________________________________________________________ / 3 \/ 432 144 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 65563 \/ 393297
/ 32 / 65563 \/ 393297 512 / / 32 / 65563 \/ 393297 512 9*3 / ----- + ----------
/ -- + 2*3 / ----- + ---------- + --------------------------- / / -- + 2*3 / ----- + ---------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ____________________ / / 3 \/ 432 144 ____________________
/ / ________ / / / ________
/ / 65563 \/ 393297 / / / 65563 \/ 393297
/ 9*3 / ----- + ---------- / / 9*3 / ----- + ----------
\/ \/ 432 144 \/ \/ \/ 432 144
-------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}} - \frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{2}{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}} + \frac{64}{3}}}{2} + \frac{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}}{2}$$
producto
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 64 / 65563 \/ 393297 2 512
/ -- - 2*3 / ----- + ---------- + -------------------------------------------------------------------------- - ---------------------------
________________________________________________________________ / 3 \/ 432 144 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 65563 \/ 393297
/ 32 / 65563 \/ 393297 512 / / 32 / 65563 \/ 393297 512 9*3 / ----- + ----------
/ -- + 2*3 / ----- + ---------- + --------------------------- / / -- + 2*3 / ----- + ---------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ____________________ / / 3 \/ 432 144 ____________________
/ / ________ / / / ________
/ / 65563 \/ 393297 / / / 65563 \/ 393297
/ 9*3 / ----- + ---------- / / 9*3 / ----- + ----------
\/ \/ 432 144 \/ \/ \/ 432 144
-------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}} - \frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{2}{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}} + \frac{64}{3}}}{2} + \frac{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}}{2}$$
=
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / ________
/ 64 / 65563 \/ 393297 2 512
/ -- - 2*3 / ----- + ---------- + -------------------------------------------------------------------------- - ---------------------------
________________________________________________________________ / 3 \/ 432 144 ________________________________________________________________ ____________________
/ ____________________ / / ____________________ / ________
/ / ________ / / / ________ / 65563 \/ 393297
/ 32 / 65563 \/ 393297 512 / / 32 / 65563 \/ 393297 512 9*3 / ----- + ----------
/ -- + 2*3 / ----- + ---------- + --------------------------- / / -- + 2*3 / ----- + ---------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ____________________ / / 3 \/ 432 144 ____________________
/ / ________ / / / ________
/ / 65563 \/ 393297 / / / 65563 \/ 393297
/ 9*3 / ----- + ---------- / / 9*3 / ----- + ----------
\/ \/ 432 144 \/ \/ \/ 432 144
-------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}} - \frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{2}{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}} + \frac{64}{3}}}{2} + \frac{\sqrt{\frac{512}{9 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}} + \frac{32}{3} + 2 \sqrt[3]{\frac{\sqrt{393297}}{144} + \frac{65563}{432}}}}{2}$$
sqrt(32/3 + 2*(65563/432 + sqrt(393297)/144)^(1/3) + 512/(9*(65563/432 + sqrt(393297)/144)^(1/3)))/2 + sqrt(64/3 - 2*(65563/432 + sqrt(393297)/144)^(1/3) + 2/sqrt(32/3 + 2*(65563/432 + sqrt(393297)/144)^(1/3) + 512/(9*(65563/432 + sqrt(393297)/144)^(1/3))) - 512/(9*(65563/432 + sqrt(393297)/144)^(1/3)))/2