(8314*273)^2*(a^2-01a)=231*10^6 eching

$$( 8314 \times 273 ) ^ { 2 } \times ( a ^ { 2 } - 01 a ) = 231 \times 10 ^ { 6 }$$

a uchun yechish

$$a=\frac{500\sqrt{231}}{1134861}\approx 0,006696276$$

$$a=-\frac{500\sqrt{231}}{1134861}\approx -0,006696276$$

Kvadrat ildizini topish bo'yicha qadamlar

2269722 hosil qilish uchun 8314 va 273 ni ko'paytirish.

$$2269722^{2}\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

2 daraja ko‘rsatkichini 2269722 ga hisoblang va 5151637957284 ni qiymatni oling.

$$5151637957284\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$5151637957284\left(a^{2}-0a\right)=231\times 10^{6}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$5151637957284\left(a^{2}-0\right)=231\times 10^{6}$$

6 daraja ko‘rsatkichini 10 ga hisoblang va 1000000 ni qiymatni oling.

$$5151637957284\left(a^{2}-0\right)=231\times 1000000$$

231000000 hosil qilish uchun 231 va 1000000 ni ko'paytirish.

$$5151637957284\left(a^{2}-0\right)=231000000$$

Ikki tarafini 5151637957284 ga bo‘ling.

$$a^{2}-0=\frac{231000000}{5151637957284}$$

\frac{231000000}{5151637957284} ulushini 84 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a^{2}-0=\frac{2750000}{61329023301}$$

Shartlarni qayta saralash.

$$a^{2}=\frac{2750000}{61329023301}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=\frac{500\sqrt{231}}{1134861} a=-\frac{500\sqrt{231}}{1134861}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2269722 hosil qilish uchun 8314 va 273 ni ko'paytirish.

$$2269722^{2}\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

2 daraja ko‘rsatkichini 2269722 ga hisoblang va 5151637957284 ni qiymatni oling.

$$5151637957284\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$5151637957284\left(a^{2}-0a\right)=231\times 10^{6}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$5151637957284\left(a^{2}-0\right)=231\times 10^{6}$$

6 daraja ko‘rsatkichini 10 ga hisoblang va 1000000 ni qiymatni oling.

$$5151637957284\left(a^{2}-0\right)=231\times 1000000$$

231000000 hosil qilish uchun 231 va 1000000 ni ko'paytirish.

$$5151637957284\left(a^{2}-0\right)=231000000$$

Ikkala tarafdan 231000000 ni ayirish.

$$5151637957284\left(a^{2}-0\right)-231000000=0$$

Shartlarni qayta saralash.

$$5151637957284a^{2}-231000000=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 5151637957284 ni a, 0 ni b va -231000000 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\times 5151637957284\left(-231000000\right)}}{2\times 5151637957284}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\times 5151637957284\left(-231000000\right)}}{2\times 5151637957284}$$

-4 ni 5151637957284 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{-20606551829136\left(-231000000\right)}}{2\times 5151637957284}$$

-20606551829136 ni -231000000 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{4760113472530416000000}}{2\times 5151637957284}$$

4760113472530416000000 ning kvadrat ildizini chiqarish.

$$a=\frac{0±4539444000\sqrt{231}}{2\times 5151637957284}$$

2 ni 5151637957284 marotabaga ko'paytirish.

$$a=\frac{0±4539444000\sqrt{231}}{10303275914568}$$

a=\frac{0±4539444000\sqrt{231}}{10303275914568} tenglamasini yeching, bunda ± musbat.

$$a=\frac{500\sqrt{231}}{1134861}$$

a=\frac{0±4539444000\sqrt{231}}{10303275914568} tenglamasini yeching, bunda ± manfiy.

$$a=-\frac{500\sqrt{231}}{1134861}$$

Tenglama yechildi.

$$a=\frac{500\sqrt{231}}{1134861} a=-\frac{500\sqrt{231}}{1134861}$$