22x^2=3100^2 eching

$$22 x ^ { 2 } = 3100 ^ { 2 }$$

x uchun yechish

$$x = \frac{1550 \sqrt{22}}{11} \approx 660,922220702$$

$$x = -\frac{1550 \sqrt{22}}{11} \approx -660,922220702$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 3100 ga hisoblang va 9610000 ni qiymatni oling.

$$22x^{2}=9610000$$

Ikki tarafini 22 ga bo‘ling.

$$x^{2}=\frac{9610000}{22}$$

\frac{9610000}{22} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{4805000}{11}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{1550\sqrt{22}}{11} x=-\frac{1550\sqrt{22}}{11}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 3100 ga hisoblang va 9610000 ni qiymatni oling.

$$22x^{2}=9610000$$

Ikkala tarafdan 9610000 ni ayirish.

$$22x^{2}-9610000=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 22 ni a, 0 ni b va -9610000 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 22\left(-9610000\right)}}{2\times 22}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 22\left(-9610000\right)}}{2\times 22}$$

-4 ni 22 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-88\left(-9610000\right)}}{2\times 22}$$

-88 ni -9610000 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{845680000}}{2\times 22}$$

845680000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6200\sqrt{22}}{2\times 22}$$

2 ni 22 marotabaga ko'paytirish.

$$x=\frac{0±6200\sqrt{22}}{44}$$

x=\frac{0±6200\sqrt{22}}{44} tenglamasini yeching, bunda ± musbat.

$$x=\frac{1550\sqrt{22}}{11}$$

x=\frac{0±6200\sqrt{22}}{44} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{1550\sqrt{22}}{11}$$

Tenglama yechildi.

$$x=\frac{1550\sqrt{22}}{11} x=-\frac{1550\sqrt{22}}{11}$$