x=frac{sqrt{1256}+8943^0+3125/5^5+sqrt{1}}{15-2^-1+(-1)^2058} eching

$$x = \frac { \sqrt { 1256 } + 8943 ^ { 0 } + \frac { 3125 } { 5 ^ { 5 } } + \sqrt { 1 } } { 15 - 2 ^ { - 1 } + ( - 1 ) ^ { 2058 } }$$

x uchun yechish

$$x = \frac{4 \sqrt{314} + 6}{31} \approx 2,480005825$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Faktor: 1256=2^{2}\times 314. \sqrt{2^{2}\times 314} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{314} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{2\sqrt{314}+8943^{0}+\frac{3125}{5^{5}}+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

0 daraja ko‘rsatkichini 8943 ga hisoblang va 1 ni qiymatni oling.

$$x=\frac{2\sqrt{314}+1+\frac{3125}{5^{5}}+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

5 daraja ko‘rsatkichini 5 ga hisoblang va 3125 ni qiymatni oling.

$$x=\frac{2\sqrt{314}+1+\frac{3125}{3125}+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

1 ni olish uchun 3125 ni 3125 ga bo‘ling.

$$x=\frac{2\sqrt{314}+1+1+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

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

$$x=\frac{2\sqrt{314}+2+\sqrt{1}}{15-2^{-1}+\left(-1\right)^{2058}}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$x=\frac{2\sqrt{314}+2+1}{15-2^{-1}+\left(-1\right)^{2058}}$$

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

$$x=\frac{2\sqrt{314}+3}{15-2^{-1}+\left(-1\right)^{2058}}$$

-1 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$x=\frac{2\sqrt{314}+3}{15-\frac{1}{2}+\left(-1\right)^{2058}}$$

\frac{29}{2} olish uchun 15 dan \frac{1}{2} ni ayirish.

$$x=\frac{2\sqrt{314}+3}{\frac{29}{2}+\left(-1\right)^{2058}}$$

2058 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$x=\frac{2\sqrt{314}+3}{\frac{29}{2}+1}$$

\frac{31}{2} olish uchun \frac{29}{2} va 1'ni qo'shing.

$$x=\frac{2\sqrt{314}+3}{\frac{31}{2}}$$

\frac{2\sqrt{314}}{\frac{31}{2}}+\frac{3}{\frac{31}{2}} natijani olish uchun 2\sqrt{314}+3 ning har bir ifodasini \frac{31}{2} ga bo‘ling.

$$x=\frac{2\sqrt{314}}{\frac{31}{2}}+\frac{3}{\frac{31}{2}}$$

\frac{4}{31}\sqrt{314} ni olish uchun 2\sqrt{314} ni \frac{31}{2} ga bo‘ling.

$$x=\frac{4}{31}\sqrt{314}+\frac{3}{\frac{31}{2}}$$

3 ni \frac{31}{2} ga bo'lish 3 ga k'paytirish \frac{31}{2} ga qaytarish.

$$x=\frac{4}{31}\sqrt{314}+3\times \frac{2}{31}$$

\frac{6}{31} hosil qilish uchun 3 va \frac{2}{31} ni ko'paytirish.

$$x=\frac{4}{31}\sqrt{314}+\frac{6}{31}$$

x'ni tayinlash

$$x≔\frac{4\sqrt{314}+6}{31}$$