x^x=x (уравнение)

Найду корень уравнения: x^x=x

Вы ввели

 x    
x  = x

$$x^{x} = x$$

Сумма и произведение корней

сумма

0 - 1 + 1

$$\left(-1 + 0\right) + 1$$

=

0

$$0$$

произведение

1*-1*1

$$1 \left(-1\right) 1$$

=

-1

$$-1$$

Быстрый ответ

x1 = -1

$$x_{1} = -1$$

x2 = 1

$$x_{2} = 1$$

Численный ответ

x1 = 1.00000004262441

x2 = 1.00000002442216

x3 = 1.00000004672155

x4 = 1.00000003056411

x5 = 0.999999614126336

x6 = 1.00000003374684

x7 = 1.00000001991912

x8 = 1.00000002169715

x9 = 1.00000016763264 - 7.67502116463478e-19*i

x10 = 1.00000002793003

x11 = 1.00000002875611

x12 = 1.00000007591379

x13 = 1.00000002715008

x14 = 1.00000002505142

x15 = 1.00000014293953

x16 = 1.00000003155615

x17 = 1.00000034871124 - 1.34619170621699e-10*i

x18 = 1.00000006150204

x19 = 1.00000007041346

x20 = 1.00000005459341

x21 = 1.00000002219239

x22 = 1.00000012459462

x23 = 1.00000005169033

x24 = 1.00000009915463

x25 = 0.999999919564068 - 5.48313895770264e-7*i

x26 = 1.00000002077015

x27 = 1.00000002382374

x28 = 1.00000002271077

x29 = 1.00000002033574

x30 = 1.0000000578421

x31 = 1.00000003496037

x32 = 1.00000004908047

x33 = 1.00000003918802

x34 = 1.00000002963256

x35 = 1.00000004457902

x36 = 1.00000053325694 - 2.52189105913114e-8*i

x37 = 1.00000004083403

x38 = 1.00000008234682

x39 = 1.00000006565663

x40 = 1.00000002325394

x41 = 1.00000002641252

x42 = 1.00000011042693

x43 = 1.00000003766958

x44 = 1.00000002122353

x45 = 1.00000025629723 - 3.80305245549926e-13*i

x46 = 1.00000002571397

x47 = 1.00000003626444

x48 = 1.00000020266873 - 6.59198540499746e-16*i

x49 = 1.00000008997194

x50 = 1.00000003261475

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