tan(x^2)=0 (уравнение)

Найду корень уравнения: tan(x^2)=0

Вы ввели

   / 2\    
tan\x / = 0

$$\tan{\left(x^{2} \right)} = 0$$

Подробное решение

Дано уравнение
$$\tan{\left(x^{2} \right)} = 0$$
преобразуем
$$\tan{\left(x^{2} \right)} - 1 = 0$$
$$\tan{\left(x^{2} \right)} - 1 = 0$$
Сделаем замену
$$w = \tan{\left(x^{2} \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = 1$$
Получим ответ: w = 1
делаем обратную замену
$$\tan{\left(x^{2} \right)} = w$$
подставляем w:

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

Сумма и произведение корней

сумма

0 + 0

$$0 + 0$$

=

0

$$0$$

произведение

1*0

$$1 \cdot 0$$

=

0

$$0$$

Численный ответ

x1 = -80.0160348181288

x2 = 81.6676264107824

x3 = 90.1863813452118

x4 = -75.9264283325462

x5 = -89.7498945058111

x6 = 60.002209801089

x7 = -64.7613016588022

x8 = 33.9553310080679

x9 = 24.1079787811859

x10 = 22.0668724858422

x11 = 30.2877046810784

x12 = 52.2498231190263

x13 = -65.7482432566799

x14 = -51.4927587106166

x15 = 74.1682461464185

x16 = 25.8681123241458

x17 = 36.2379045917467

x18 = 46.2539143975367

x19 = 36.7543853307821

x20 = 57.4614120860502

x21 = 18.2485292908913

x22 = -38.4667406968773

x23 = 1.77245385090552

x24 = 88.249692284161

x25 = -69.9614276176015

x26 = -86.8321505469921

x27 = 49.2155253544827

x28 = 67.9569069394495

x29 = 40.1451993554841

x30 = -43.883895641232

x31 = -91.9799381175988

x32 = -52.12943166154

x33 = 72.1064202529227

x34 = 8.1224039375905

x35 = -53.8487698955452

x36 = -95.5975576533873

x37 = 54.4290535682477

x38 = -87.8572316310395

x39 = 100.249463334393

x40 = -103.183610631804

x41 = -13.7293684929565

x42 = -45.7760013538141

x43 = -19.7372107716651

x44 = -4.34160752734961

x45 = 43.4883751991386

x46 = -5.87856438167413

x47 = 66.2480561002732

x48 = 32.2956461615465

x49 = 16.244807875181

x50 = 48.2485249133073

x51 = -15.7539144225679

x52 = -29.7645616180101

x53 = 0.0

x54 = -7.72594721818665

x55 = -59.9760251130426

x56 = 70.2750571073632

x57 = 80.2708323895589

x58 = -1.77245385090552

x59 = -93.6553612390807

x60 = 58.248777376671

x61 = -35.7579111527931

x62 = 84.0001017854304

x63 = 86.3787158522038

x64 = -39.751994978311

x65 = -67.7717379115238

x66 = 28.2482660354898

x67 = -80.5248237316253

x68 = -34.0015602071588

x69 = 96.2688855658457

x70 = -56.8291936234389

x71 = 10.026513098524

x72 = -23.7138163312566

x73 = -77.7660970999597

x74 = -61.7312877624015

x75 = 14.2899797929646

x76 = -3.96332729760601

x77 = -21.9955738423172

x78 = -11.7571287633483

x79 = -41.7562441168065

x80 = 42.2424505354389

x81 = 3.96332729760601

x82 = -84.4291047624884

x83 = -27.7432910832421

x84 = -74.1258763936626

x85 = 62.0612003855959

x86 = -47.6589077565298

x87 = 92.2187145500715

x88 = 64.2499240996983

x89 = -72.0410373587883

x90 = 76.3596488013313

x91 = -98.0473024615403

x92 = -17.9009064202391

x93 = -58.0326401661019

x94 = 78.2493711274826

x95 = 97.9992282725941

x96 = 6.63191504395654

x97 = 19.9745404704565

x98 = 93.1845593138809

x99 = 184.820282768104

x100 = -25.5011701553691

x101 = -32.6343363586107

График