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Expresiones semejantes
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- -1-3*x^(-1)*(1-x)^(1/2)+2*x^(2)*(1-x)^(3/2)=0
-1-3*x^(-1)*(1-x)^(1/2)+2*x^(-2)*(1-x)^(3/2)=0 la ecuación
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Solución
Ha introducido
[src]
3 _______ 2 3/2
-1 - -*\/ 1 - x + --*(1 - x) = 0
x 2
x
$$\frac{2}{x^{2}} \left(1 - x\right)^{\frac{3}{2}} + \left(- \frac{3}{x} \sqrt{1 - x} - 1\right) = 0$$
Respuesta rápida
[src]
_____________________________________________________________________________________________________________________________________________
/ ___________________
/ / ______
/ 745 / 77 I*\/ 8493 59 20317
/ --- - 2*3 / - -- + ---------- - -------------------------- + ---------------------------------------------------------------------------
_______________________________________________________________ / 2 \/ 8 18 ___________________ _______________________________________________________________
/ ___________________ / / ______ / ___________________
/ / ______ / / 77 I*\/ 8493 / / ______
/ 745 / 77 I*\/ 8493 59 / 6*3 / - -- + ---------- / 745 / 77 I*\/ 8493 59
/ --- + 2*3 / - -- + ---------- + -------------------------- / \/ 8 18 4* / --- + 2*3 / - -- + ---------- + --------------------------
/ 4 \/ 8 18 ___________________ / / 4 \/ 8 18 ___________________
/ / ______ / / / ______
/ / 77 I*\/ 8493 / / / 77 I*\/ 8493
/ 6*3 / - -- + ---------- / / 6*3 / - -- + ----------
25 \/ \/ 8 18 \/ \/ \/ 8 18
x1 = - -- - ------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------
4 2 2
$$x_{1} = - \frac{25}{4} - \frac{\sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}{2} - \frac{\sqrt{\frac{745}{2} - 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}} + \frac{20317}{4 \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}} - \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}}{2}$$
_____________________________________________________________________________________________________________________________________________
/ ___________________
/ / ______
/ 745 / 77 I*\/ 8493 59 20317
/ --- - 2*3 / - -- + ---------- - -------------------------- + ---------------------------------------------------------------------------
/ 2 \/ 8 18 ___________________ _______________________________________________________________ _______________________________________________________________
/ / ______ / ___________________ / ___________________
/ / 77 I*\/ 8493 / / ______ / / ______
/ 6*3 / - -- + ---------- / 745 / 77 I*\/ 8493 59 / 745 / 77 I*\/ 8493 59
/ \/ 8 18 4* / --- + 2*3 / - -- + ---------- + -------------------------- / --- + 2*3 / - -- + ---------- + --------------------------
/ / 4 \/ 8 18 ___________________ / 4 \/ 8 18 ___________________
/ / / ______ / / ______
/ / / 77 I*\/ 8493 / / 77 I*\/ 8493
/ / 6*3 / - -- + ---------- / 6*3 / - -- + ----------
25 \/ \/ \/ 8 18 \/ \/ 8 18
x2 = - -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------
4 2 2
$$x_{2} = - \frac{25}{4} - \frac{\sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}{2} + \frac{\sqrt{\frac{745}{2} - 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}} + \frac{20317}{4 \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}} - \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}}{2}$$
x2 = -25/4 - sqrt(745/4 + 59/(6*(-77/8 + sqrt(8493)*i/18)^(1/3)) + 2*(-77/8 + sqrt(8493)*i/18)^(1/3))/2 + sqrt(745/2 - 2*(-77/8 + sqrt(8493)*i/18)^(1/3) + 20317/(4*sqrt(745/4 + 59/(6*(-77/8 + sqrt(8493)*i/18)^(1/3)) + 2*(-77/8 + sqrt(8493)*i/18)^(1/3))) - 59/(6*(-77/8 + sqrt(8493)*i/18)^(1/3)))/2
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________
/ ___________________ / ___________________
/ / ______ / / ______
/ 745 / 77 I*\/ 8493 59 20317 / 745 / 77 I*\/ 8493 59 20317
/ --- - 2*3 / - -- + ---------- - -------------------------- + --------------------------------------------------------------------------- / --- - 2*3 / - -- + ---------- - -------------------------- + ---------------------------------------------------------------------------
_______________________________________________________________ / 2 \/ 8 18 ___________________ _______________________________________________________________ / 2 \/ 8 18 ___________________ _______________________________________________________________ _______________________________________________________________
/ ___________________ / / ______ / ___________________ / / ______ / ___________________ / ___________________
/ / ______ / / 77 I*\/ 8493 / / ______ / / 77 I*\/ 8493 / / ______ / / ______
/ 745 / 77 I*\/ 8493 59 / 6*3 / - -- + ---------- / 745 / 77 I*\/ 8493 59 / 6*3 / - -- + ---------- / 745 / 77 I*\/ 8493 59 / 745 / 77 I*\/ 8493 59
/ --- + 2*3 / - -- + ---------- + -------------------------- / \/ 8 18 4* / --- + 2*3 / - -- + ---------- + -------------------------- / \/ 8 18 4* / --- + 2*3 / - -- + ---------- + -------------------------- / --- + 2*3 / - -- + ---------- + --------------------------
/ 4 \/ 8 18 ___________________ / / 4 \/ 8 18 ___________________ / / 4 \/ 8 18 ___________________ / 4 \/ 8 18 ___________________
/ / ______ / / / ______ / / / ______ / / ______
/ / 77 I*\/ 8493 / / / 77 I*\/ 8493 / / / 77 I*\/ 8493 / / 77 I*\/ 8493
/ 6*3 / - -- + ---------- / / 6*3 / - -- + ---------- / / 6*3 / - -- + ---------- / 6*3 / - -- + ----------
25 \/ \/ 8 18 \/ \/ \/ 8 18 25 \/ \/ \/ 8 18 \/ \/ 8 18
- -- - ------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ + - -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------
4 2 2 4 2 2
$$\left(- \frac{25}{4} - \frac{\sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}{2} + \frac{\sqrt{\frac{745}{2} - 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}} + \frac{20317}{4 \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}} - \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}}{2}\right) + \left(- \frac{25}{4} - \frac{\sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}{2} - \frac{\sqrt{\frac{745}{2} - 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}} + \frac{20317}{4 \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}} - \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}}{2}\right)$$
=
_______________________________________________________________
/ ___________________
/ / ______
25 / 745 / 77 I*\/ 8493 59
- -- - / --- + 2*3 / - -- + ---------- + --------------------------
2 / 4 \/ 8 18 ___________________
/ / ______
/ / 77 I*\/ 8493
/ 6*3 / - -- + ----------
\/ \/ 8 18
$$- \frac{25}{2} - \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}$$
producto
/ _____________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________ \ | / ___________________ | | / ___________________ | | / / ______ | | / / ______ | | / 745 / 77 I*\/ 8493 59 20317 | | / 745 / 77 I*\/ 8493 59 20317 | | / --- - 2*3 / - -- + ---------- - -------------------------- + --------------------------------------------------------------------------- | | / --- - 2*3 / - -- + ---------- - -------------------------- + --------------------------------------------------------------------------- | | _______________________________________________________________ / 2 \/ 8 18 ___________________ _______________________________________________________________ | | / 2 \/ 8 18 ___________________ _______________________________________________________________ _______________________________________________________________| | / ___________________ / / ______ / ___________________ | | / / ______ / ___________________ / ___________________ | | / / ______ / / 77 I*\/ 8493 / / ______ | | / / 77 I*\/ 8493 / / ______ / / ______ | | / 745 / 77 I*\/ 8493 59 / 6*3 / - -- + ---------- / 745 / 77 I*\/ 8493 59 | | / 6*3 / - -- + ---------- / 745 / 77 I*\/ 8493 59 / 745 / 77 I*\/ 8493 59 | | / --- + 2*3 / - -- + ---------- + -------------------------- / \/ 8 18 4* / --- + 2*3 / - -- + ---------- + -------------------------- | | / \/ 8 18 4* / --- + 2*3 / - -- + ---------- + -------------------------- / --- + 2*3 / - -- + ---------- + -------------------------- | | / 4 \/ 8 18 ___________________ / / 4 \/ 8 18 ___________________ | | / / 4 \/ 8 18 ___________________ / 4 \/ 8 18 ___________________ | | / / ______ / / / ______ | | / / / ______ / / ______ | | / / 77 I*\/ 8493 / / / 77 I*\/ 8493 | | / / / 77 I*\/ 8493 / / 77 I*\/ 8493 | | / 6*3 / - -- + ---------- / / 6*3 / - -- + ---------- | | / / 6*3 / - -- + ---------- / 6*3 / - -- + ---------- | | 25 \/ \/ 8 18 \/ \/ \/ 8 18 | | 25 \/ \/ \/ 8 18 \/ \/ 8 18 | |- -- - ------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------| \ 4 2 2 / \ 4 2 2 /
$$\left(- \frac{25}{4} - \frac{\sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}{2} - \frac{\sqrt{\frac{745}{2} - 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}} + \frac{20317}{4 \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}} - \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}}{2}\right) \left(- \frac{25}{4} - \frac{\sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}{2} + \frac{\sqrt{\frac{745}{2} - 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}} + \frac{20317}{4 \sqrt{\frac{745}{4} + \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}} + 2 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}} - \frac{59}{6 \sqrt[3]{- \frac{77}{8} + \frac{\sqrt{8493} i}{18}}}}}{2}\right)$$
=
_____________________________________________________________________
/ _____________________ 2/3
/ 3 ___ 3 / ______ 708*3
25* / 6705 + 12*\/ 3 *\/ -693 + 4*I*\/ 8493 + ------------------------
_______________________ / _____________________
3 / ______ / 3 / ______ ___ 2/3
15 \/ -2079 + 12*I*\/ 8493 \/ \/ -693 + 4*I*\/ 8493 20317*\/ 3 59*3
- -- + -------------------------- + ------------------------------------------------------------------------------- - ----------------------------------------------------------------------------- + --------------------------
2 6 24 ____________________________________________________________________ _____________________
/ _____________________ 2/3 3 / ______
/ 3 ___ 3 / ______ 236*3 6*\/ -693 + 4*I*\/ 8493
8* / 2235 + 4*\/ 3 *\/ -693 + 4*I*\/ 8493 + ------------------------
/ _____________________
/ 3 / ______
\/ \/ -693 + 4*I*\/ 8493
$$- \frac{15}{2} + \frac{59 \cdot 3^{\frac{2}{3}}}{6 \sqrt[3]{-693 + 4 \sqrt{8493} i}} + \frac{25 \sqrt{6705 + \frac{708 \cdot 3^{\frac{2}{3}}}{\sqrt[3]{-693 + 4 \sqrt{8493} i}} + 12 \sqrt[3]{3} \sqrt[3]{-693 + 4 \sqrt{8493} i}}}{24} - \frac{20317 \sqrt{3}}{8 \sqrt{2235 + \frac{236 \cdot 3^{\frac{2}{3}}}{\sqrt[3]{-693 + 4 \sqrt{8493} i}} + 4 \sqrt[3]{3} \sqrt[3]{-693 + 4 \sqrt{8493} i}}} + \frac{\sqrt[3]{-2079 + 12 \sqrt{8493} i}}{6}$$
-15/2 + (-2079 + 12*i*sqrt(8493))^(1/3)/6 + 25*sqrt(6705 + 12*3^(1/3)*(-693 + 4*i*sqrt(8493))^(1/3) + 708*3^(2/3)/(-693 + 4*i*sqrt(8493))^(1/3))/24 - 20317*sqrt(3)/(8*sqrt(2235 + 4*3^(1/3)*(-693 + 4*i*sqrt(8493))^(1/3) + 236*3^(2/3)/(-693 + 4*i*sqrt(8493))^(1/3))) + 59*3^(2/3)/(6*(-693 + 4*i*sqrt(8493))^(1/3))
Respuesta numérica
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x1 = -26.7180825509195 - 4.45184782621951e-31*i
x2 = 0.36629153309952 - 1.37721846722474e-30*i
x2 = 0.36629153309952 - 1.37721846722474e-30*i