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(50-2*x)^2*(2*x+10)^2/((10000*(20-x)*(20-3*x)^3))=2/(5*10^3) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           2           2           
 (50 - 2*x) *(2*x + 10)            
-------------------------- = 0.0004
                         3         
10000*(20 - x)*(20 - 3*x)          
(502x)2(2x+10)2(203x)310000(20x)=0.0004\frac{\left(50 - 2 x\right)^{2} \left(2 x + 10\right)^{2}}{\left(20 - 3 x\right)^{3} \cdot 10000 \left(20 - x\right)} = 0.0004
Gráfica
05-10-51015202530354045-50000000005000000000
Respuesta rápida [src]
x1 = 1.14153266103889
x1=1.14153266103889x_{1} = 1.14153266103889
x2 = 20.6675303016104
x2=20.6675303016104x_{2} = 20.6675303016104
x3 = 9.09546851867535 - 9.84644607796721*I
x3=9.095468518675359.84644607796721ix_{3} = 9.09546851867535 - 9.84644607796721 i
x4 = 9.09546851867535 + 9.84644607796721*I
x4=9.09546851867535+9.84644607796721ix_{4} = 9.09546851867535 + 9.84644607796721 i
x4 = 9.09546851867535 + 9.84644607796721*i
Suma y producto de raíces [src]
suma
1.14153266103889 + 20.6675303016104 + 9.09546851867535 - 9.84644607796721*I + 9.09546851867535 + 9.84644607796721*I
((1.14153266103889+20.6675303016104)+(9.095468518675359.84644607796721i))+(9.09546851867535+9.84644607796721i)\left(\left(1.14153266103889 + 20.6675303016104\right) + \left(9.09546851867535 - 9.84644607796721 i\right)\right) + \left(9.09546851867535 + 9.84644607796721 i\right)
=
40.0000000000000
40.040.0
producto
1.14153266103889*20.6675303016104*(9.09546851867535 - 9.84644607796721*I)*(9.09546851867535 + 9.84644607796721*I)
1.1415326610388920.6675303016104(9.095468518675359.84644607796721i)(9.09546851867535+9.84644607796721i)1.14153266103889 \cdot 20.6675303016104 \left(9.09546851867535 - 9.84644607796721 i\right) \left(9.09546851867535 + 9.84644607796721 i\right)
=
4239.13043478261
4239.130434782614239.13043478261
4239.13043478261
Respuesta numérica [src]
x1 = 1.14153266103889
x2 = 20.6675303016104
x3 = 9.09546851867535 - 9.84644607796721*i
x4 = 9.09546851867535 + 9.84644607796721*i
x4 = 9.09546851867535 + 9.84644607796721*i