sqrt{(-2)^2}=|-1|+1/9x(-3)^2+sqrt[3]{-8} eching

$$\sqrt { ( - 2 ) ^ { 2 } } = | - 1 | + \frac { 1 } { 9 } x ( - 3 ) ^ { 2 } + \sqrt[ 3 ] { - 8 }$$

x uchun yechish (complex solution)

$$x=2e^{\frac{5\pi i}{3}}-1\approx 2,220446049 \cdot 10^{-16}-1,732050808i$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\sqrt{4}=|-1|+\frac{1}{9}x\left(-3\right)^{2}+\sqrt[3]{-8}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$2=|-1|+\frac{1}{9}x\left(-3\right)^{2}+\sqrt[3]{-8}$$

a+bi murakkab soning moduli – \sqrt{a^{2}+b^{2}}. -1 moduli – 1.

$$2=1+\frac{1}{9}x\left(-3\right)^{2}+\sqrt[3]{-8}$$

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$2=1+\frac{1}{9}x\times 9+\sqrt[3]{-8}$$

1 hosil qilish uchun \frac{1}{9} va 9 ni ko'paytirish.

$$2=1+x+\sqrt[3]{-8}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$1+x+\sqrt[3]{-8}=2$$

Ikkala tarafdan 1 ni ayirish.

$$x+\sqrt[3]{-8}=2-1$$

1 olish uchun 2 dan 1 ni ayirish.

$$x+\sqrt[3]{-8}=1$$

Ikkala tarafdan \sqrt[3]{-8} ni ayirish.

$$x=1-\sqrt[3]{-8}$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 daraja ko‘rsatkichini -2 ga hisoblang va 4 ni qiymatni oling.

$$\sqrt{4}=|-1|+\frac{1}{9}x\left(-3\right)^{2}+\sqrt[3]{-8}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$2=|-1|+\frac{1}{9}x\left(-3\right)^{2}+\sqrt[3]{-8}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -1 ning mutloq qiymati 1 ga teng.

$$2=1+\frac{1}{9}x\left(-3\right)^{2}+\sqrt[3]{-8}$$

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$2=1+\frac{1}{9}x\times 9+\sqrt[3]{-8}$$

1 hosil qilish uchun \frac{1}{9} va 9 ni ko'paytirish.

$$2=1+x+\sqrt[3]{-8}$$

\sqrt[3]{-8} ni hisoblab, -2 natijasiga ega bo‘ling.

$$2=1+x-2$$

-1 olish uchun 1 dan 2 ni ayirish.

$$2=-1+x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-1+x=2$$

1 ni ikki tarafga qo’shing.

$$x=2+1$$

3 olish uchun 2 va 1'ni qo'shing.

$$x=3$$