(2x)^2/32=308*10^-4 eching

$$\frac { ( 2 x ) ^ { 2 } } { 32 } = 308 \times 10 ^ { - 4 }$$

x uchun yechish

$$x=\frac{\sqrt{154}}{25}\approx 0,496386946$$

$$x=-\frac{\sqrt{154}}{25}\approx -0,496386946$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 32 ga ko'paytirish.

$$\left(2x\right)^{2}=9856\times 10^{-4}$$

\left(2x\right)^{2} ni kengaytirish.

$$2^{2}x^{2}=9856\times 10^{-4}$$

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

$$4x^{2}=9856\times 10^{-4}$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$4x^{2}=9856\times \frac{1}{10000}$$

\frac{616}{625} hosil qilish uchun 9856 va \frac{1}{10000} ni ko'paytirish.

$$4x^{2}=\frac{616}{625}$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{\frac{616}{625}}{4}$$

\frac{\frac{616}{625}}{4} ni yagona kasrga aylantiring.

$$x^{2}=\frac{616}{625\times 4}$$

2500 hosil qilish uchun 625 va 4 ni ko'paytirish.

$$x^{2}=\frac{616}{2500}$$

\frac{616}{2500} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{154}{625}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{154}}{25} x=-\frac{\sqrt{154}}{25}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 32 ga ko'paytirish.

$$\left(2x\right)^{2}=9856\times 10^{-4}$$

\left(2x\right)^{2} ni kengaytirish.

$$2^{2}x^{2}=9856\times 10^{-4}$$

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

$$4x^{2}=9856\times 10^{-4}$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$4x^{2}=9856\times \frac{1}{10000}$$

\frac{616}{625} hosil qilish uchun 9856 va \frac{1}{10000} ni ko'paytirish.

$$4x^{2}=\frac{616}{625}$$

Ikkala tarafdan \frac{616}{625} ni ayirish.

$$4x^{2}-\frac{616}{625}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 4 ni a, 0 ni b va -\frac{616}{625} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-\frac{616}{625}\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 4\left(-\frac{616}{625}\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-16\left(-\frac{616}{625}\right)}}{2\times 4}$$

-16 ni -\frac{616}{625} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{9856}{625}}}{2\times 4}$$

\frac{9856}{625} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{8\sqrt{154}}{25}}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\frac{8\sqrt{154}}{25}}{8}$$

x=\frac{0±\frac{8\sqrt{154}}{25}}{8} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{154}}{25}$$

x=\frac{0±\frac{8\sqrt{154}}{25}}{8} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{154}}{25}$$

Tenglama yechildi.

$$x=\frac{\sqrt{154}}{25} x=-\frac{\sqrt{154}}{25}$$