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0.803*10^(-4)*x^3+1.763*x-148.5=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
803*0.0001  3   1763*x   297    
----------*x  + ------ - --- = 0
   1000          1000     2     
(0.00018031000x3+1763x1000)2972=0\left(\frac{0.0001 \cdot 803}{1000} x^{3} + \frac{1763 x}{1000}\right) - \frac{297}{2} = 0
Teorema de Cardano-Vieta
reescribamos la ecuación
(0.00018031000x3+1763x1000)2972=0\left(\frac{0.0001 \cdot 803}{1000} x^{3} + \frac{1763 x}{1000}\right) - \frac{297}{2} = 0
de
ax3+bx2+cx+d=0a x^{3} + b x^{2} + c x + d = 0
como ecuación cúbica reducida
x3+bx2a+cxa+da=0x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0
1x3+21955.1681195517x1849315.06849315=01 x^{3} + 21955.1681195517 x - 1849315.06849315 = 0
px2+qx+v+x3=0p x^{2} + q x + v + x^{3} = 0
donde
p=bap = \frac{b}{a}
p=0p = 0
q=caq = \frac{c}{a}
q=21955.1681195517q = 21955.1681195517
v=dav = \frac{d}{a}
v=1849315.06849315v = -1849315.06849315
Fórmulas de Cardano-Vieta
x1+x2+x3=px_{1} + x_{2} + x_{3} = - p
x1x2+x1x3+x2x3=qx_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q
x1x2x3=vx_{1} x_{2} x_{3} = v
x1+x2+x3=0x_{1} + x_{2} + x_{3} = 0
x1x2+x1x3+x2x3=21955.1681195517x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = 21955.1681195517
x1x2x3=1849315.06849315x_{1} x_{2} x_{3} = -1849315.06849315
Suma y producto de raíces [src]
suma
69.1626458603302 + -34.5813229301651 - 159.821061835894*I + -34.5813229301651 + 159.821061835894*I
(69.1626458603302+(34.5813229301651159.821061835894i))+(34.5813229301651+159.821061835894i)\left(69.1626458603302 + \left(-34.5813229301651 - 159.821061835894 i\right)\right) + \left(-34.5813229301651 + 159.821061835894 i\right)
=
0
00
producto
69.1626458603302*(-34.5813229301651 - 159.821061835894*I)*(-34.5813229301651 + 159.821061835894*I)
69.1626458603302(34.5813229301651159.821061835894i)(34.5813229301651+159.821061835894i)69.1626458603302 \left(-34.5813229301651 - 159.821061835894 i\right) \left(-34.5813229301651 + 159.821061835894 i\right)
=
1849315.06849315
1849315.068493151849315.06849315
1849315.06849315
Respuesta rápida [src]
x1 = 69.1626458603302
x1=69.1626458603302x_{1} = 69.1626458603302
x2 = -34.5813229301651 - 159.821061835894*I
x2=34.5813229301651159.821061835894ix_{2} = -34.5813229301651 - 159.821061835894 i
x3 = -34.5813229301651 + 159.821061835894*I
x3=34.5813229301651+159.821061835894ix_{3} = -34.5813229301651 + 159.821061835894 i
x3 = -34.5813229301651 + 159.821061835894*i
Respuesta numérica [src]
x1 = -34.5813229301651 - 159.821061835894*i
x2 = 69.1626458603302
x3 = -34.5813229301651 + 159.821061835894*i
x3 = -34.5813229301651 + 159.821061835894*i