Sr Examen

abs(z+1i)=abs(z+2) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
|z + I| = |z + 2|
$$\left|{z + i}\right| = \left|{z + 2}\right|$$
Gráfica
Suma y producto de raíces [src]
suma
-3/4
$$- \frac{3}{4}$$
=
-3/4
$$- \frac{3}{4}$$
producto
-3/4
$$- \frac{3}{4}$$
=
-3/4
$$- \frac{3}{4}$$
-3/4
Respuesta rápida [src]
z1 = -3/4
$$z_{1} = - \frac{3}{4}$$
z1 = -3/4
Respuesta numérica [src]
z1 = -8.35787918525328e+36
z2 = -3.61101892442298e+31
z3 = -2.10350687962608e+29
z4 = -2.23999529243857e+30
z5 = -3.48899133417695e+29
z6 = -2.19258316318192e+28
z7 = -4.32961856750802e+32
z8 = -7.71708201807536e+30
z9 = -6.42094759111633e+34
z10 = -2.40083771243113e+32
z11 = -5.74584953553237e+32
z12 = -1.65645913714987e+31
z13 = -1.16479825947576e+28
z14 = -1.44212652033747e+33
z15 = -1.69005035003511e+33
z16 = -2.88183883320455e+33
z17 = -7.60942746718452e+32
z18 = -2.97295182512958e+27
z19 = -1.45223367126935e+31
z20 = -8.55879847985087e+28
z21 = -4.42495983880899e+35
z22 = -2.38701206442683e+31
z23 = -6.30019890999143e+36
z24 = -9.15091251137538e+29
z25 = -1.31151018730086e+33
z26 = -6.74491106201718e+31
z27 = -2.56352598739019e+36
z28 = -1.83403485323506e+28
z29 = -5.17667250106864e+30
z30 = -4.71024082302426e+36
z31 = -5.75163108751825e+32
z32 = -4.81882188822656e+31
z33 = -6.0648959984869e+33
z34 = -1.2926741032491e+32
z35 = -1.23875396690295e+29
z36 = -4.77772349954988e+34
z37 = -1.31822905919777e+33
z38 = -9.58769192788954e+31
z39 = -3.23341258427895e+32
z40 = -3.32586288418302e+32
z41 = -8.94190109821436e+35
z42 = -1.04751701673903e+36
z43 = -7.13288544865907e+28
z44 = -1.24037732841938e+34
z45 = -1.76491371646885e+32
z46 = -9.37120813927957e+31
z47 = -2.48121194978247e+34
z48 = -5.70877527542083e+29
z49 = -4.0831115511751e+28
z50 = -4.19643580757932e+30
z51 = -4.00791238097181e+28
z52 = -6.93784099789303e+27
z53 = -2.40754044413559e+32
z54 = -3.42815165104676e+30
z55 = -5.99100190954573e+27
z56 = -0.75
z57 = -3.4073812285877e+31
z58 = -1.26980536160288e+30
z59 = -1.27630758538597e+31
z60 = -3.49099166243221e+36
z61 = -4.70963559850457e+32
z62 = -3.49865467163584e+29
z63 = -1.69351791275222e+35
z64 = -1.86403425120972e+36
z65 = -1.1367890614978e+31
z66 = -1.00115866343037e+33
z67 = -2.98217469868536e+35
z68 = -9.10860209244321e+34
z69 = -1.44276129520403e+30
z70 = -4.77192010559525e+35
z70 = -4.77192010559525e+35