Sr Examen

Otras calculadoras

4x^(3)+1,15*10^(-7)*((2*x-1)^(2))=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   3   23*1.0e-7          2    
4*x  + ---------*(2*x - 1)  = 0
           20                  
4x3+1.01072320(2x1)2=04 x^{3} + \frac{1.0 \cdot 10^{-7} \cdot 23}{20} \left(2 x - 1\right)^{2} = 0
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-1000010000
Respuesta rápida [src]
x1 = -0.00307601433080237
x1=0.00307601433080237x_{1} = -0.00307601433080237
x2 = 0.00153794966540119 - 0.00264220007727384*I
x2=0.001537949665401190.00264220007727384ix_{2} = 0.00153794966540119 - 0.00264220007727384 i
x3 = 0.00153794966540119 + 0.00264220007727384*I
x3=0.00153794966540119+0.00264220007727384ix_{3} = 0.00153794966540119 + 0.00264220007727384 i
x3 = 0.00153794966540119 + 0.00264220007727384*i
Suma y producto de raíces [src]
suma
-0.00307601433080237 + 0.00153794966540119 - 0.00264220007727384*I + 0.00153794966540119 + 0.00264220007727384*I
(0.00307601433080237+(0.001537949665401190.00264220007727384i))+(0.00153794966540119+0.00264220007727384i)\left(-0.00307601433080237 + \left(0.00153794966540119 - 0.00264220007727384 i\right)\right) + \left(0.00153794966540119 + 0.00264220007727384 i\right)
=
-1.14999999999751e-7
1.14999999999751107-1.14999999999751 \cdot 10^{-7}
producto
-0.00307601433080237*(0.00153794966540119 - 0.00264220007727384*I)*(0.00153794966540119 + 0.00264220007727384*I)
0.00307601433080237(0.001537949665401190.00264220007727384i)(0.00153794966540119+0.00264220007727384i)- 0.00307601433080237 \left(0.00153794966540119 - 0.00264220007727384 i\right) \left(0.00153794966540119 + 0.00264220007727384 i\right)
=
-2.87500000000000e-8
2.875108-2.875 \cdot 10^{-8}
-2.87500000000000e-8
Respuesta numérica [src]
x1 = 0.00153794966540119 + 0.00264220007727384*i
x2 = -0.00307601433080237
x3 = 0.00153794966540119 - 0.00264220007727384*i
x3 = 0.00153794966540119 - 0.00264220007727384*i