Sr Examen

Otras calculadoras

sqrt(x-2*sqrt(x-1))+sqrt(x+3-4*sqrt(x-1))=1 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]
   _________________      _____________________    
  /         _______      /             _______     
\/  x - 2*\/ x - 1   + \/  x + 3 - 4*\/ x - 1   = 1
$$\sqrt{x - 2 \sqrt{x - 1}} + \sqrt{- 4 \sqrt{x - 1} + \left(x + 3\right)} = 1$$
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = -3.23053918430829 + 9.28868217089082*i
x2 = -53.0367912748366 + 23.782460768814*i
x3 = -54.5819359941154 + 24.426581944226*i
x4 = -6.47536677953999 + 12.6334043419975*i
x5 = -1.70887609291488 - 9.30453205642446*i
x6 = -0.00809273849390459 - 8.03638067219434*i
x7 = -34.8013009807312 + 16.1598275382312*i
x8 = 3.78893798220142 - 0.378574760079037*i
x9 = -4.36647153031163 - 11.3080245007444*i
x10 = -40.8094344638454 + 18.6765138053019*i
x11 = -3.27006201854259 - 9.76106759470389*i
x12 = -5.65034880062085 + 11.3421475266987*i
x13 = -7.86778816957119 + 14.0291715085633*i
x14 = -35.1185806521049 + 15.53787535313*i
x15 = -3.4662277265014 - 10.6280852038227*i
x16 = -2.71854993023362 - 9.25510866128291*i
x17 = -4.99734975911334 - 11.3229508975965*i
x18 = 2.22028414482263 + 0.19233063718638*i
x19 = -46.8915503418943 + 21.2184756584786*i
x20 = -45.3647277758557 + 20.5808062684212*i
x21 = -23.0701946292538 + 11.2203535818543*i
x22 = -19.3636234145872 + 14.2876911792197*i
x23 = -0.851720662900403 - 8.66295460220893*i
x24 = -5.79826805778096 + 11.9471058179646*i
x25 = -27.5573090157341 - 11.3661750795146*i
x26 = 3.95861873485089
x27 = -21.6373911510733 + 10.6136039620839*i
x28 = -16.8983226432911 + 12.8950935191438*i
x29 = 2.42781448061589 + 0.539333699042425*i
x30 = 0.823768978186941 - 7.4260622224525*i
x31 = -9.74947325665212 + 14.5348204834029*i
x32 = 3.21715578256667
x33 = -49.9568536864586 + 22.4978907075852*i
x34 = -27.4176373616445 + 13.0559946965046*i
x35 = -31.8293026948262 + 14.9122208430541*i
x36 = -17.3960792627922 + 8.81087010395022*i
x37 = -56.2283740843066 - 25.6402296403296*i
x38 = -59.2367387366571 + 26.3658694745063*i
x39 = -28.8815794381095 + 13.6725915628676*i
x40 = -2.58031605071393 - 9.95993335366841*i
x41 = 1.86602540378444 + 1.86602540378444*i
x42 = -37.795319202673 + 17.4147760162467*i
x43 = 1.64744217010747 - 6.83320869196467*i
x44 = -0.645952224243896 - 7.31152048732431*i
x45 = -48.4223065718871 + 21.857518373251*i
x46 = -53.9541603970386 - 30.2611903736966*i
x47 = -5.28072180015318 - 11.9988910540797*i
x48 = -5.31215439119342 + 7.45439191249157*i
x49 = -6.20554645774642 - 12.3986096590993*i
x50 = -51.4950574102247 + 23.1395512613653*i
x51 = 4.93123626697562
x52 = -39.2999738078785 + 18.0448279707179*i
x53 = -6.26529836244038 + 12.8558893619043*i
x54 = -4.67696024558644 + 7.91777641500741*i
x55 = -1.14306930336638 - 7.78481185105103*i
x56 = 3.05207651971468 - 0.140457601917261*i
x57 = -33.85092709688 + 14.2094304836657*i
x58 = -4.40987399821679 - 10.7952242836231*i
x59 = -8.10300041430731 - 14.1297704390859*i
x60 = -4.4850354223397 + 10.5996338049259*i
x61 = -24.5115038397515 + 11.8297572266029*i
x62 = -2.62703195704564 + 8.64819535859435*i
x63 = -1.65456187775844 - 8.26670441897893*i
x64 = -2.04036962602569 + 8.01849396009523*i
x65 = 4.42220926275075 - 0.487781901710183*i
x66 = -42.323502045118 + 19.30977496634*i
x67 = -32.6522533112972 + 12.7924539248814*i
x68 = -9.06861680840933 - 14.8574283702891*i
x69 = -7.16537767659549 + 13.3275463142014*i
x70 = -29.0562251562741 - 16.6927703652495*i
x71 = -25.9608057124266 + 12.4416788590097*i
x72 = -43.8419909366591 + 19.9445564027068*i
x73 = -3.83397798059423 - 10.2745200281348*i
x74 = 2.36680769180181
x75 = 3.87228132326901 + 3.39036320274658*i
x76 = -6.20855036046449 - 12.6999169092266*i
x77 = -15.6801492136355 + 10.8851880969445*i
x78 = -5.59602670880908 - 11.8574818168868*i
x79 = 2.56041140745259 + 4.96884753973812*i
x80 = -154.338149149449 + 28.1697264302494*i
x81 = -36.2956847141755 + 16.786420334334*i
x82 = -5.13462904579574 + 11.2690410003855*i
x83 = -5.11367219342186 + 9.72584735172859*i
x84 = 4.55276400487618
x85 = -8.58211774360575 + 14.7379465926531*i
x86 = -4.34939008055925 + 5.69229846145185*i
x87 = -1.47138803841612 + 7.40024972068671*i
x88 = 2.0
x89 = -33.3124170828655 + 15.5350688982816*i
x90 = -57.6820134480303 + 25.718319230462*i
x91 = -2.17989095862417 - 8.75689799658332*i
x92 = -56.1303789023395 + 25.0718793421679*i
x93 = -20.2136646701218 + 10.009658698939*i
x94 = -18.7996543712821 + 9.40868497828303*i
x95 = 2.79085673716279 + 0.741366071130771*i
x96 = 4.04166666666667
x97 = -3.85011452156592 + 9.93934601148811*i
x98 = -7.14947702357342 - 13.4104153066969*i
x99 = -30.3522505716587 + 14.2913655386219*i
x100 = -153.875308691414 + 33.4430322927453*i
x100 = -153.875308691414 + 33.4430322927453*i