28x^2=3105^2 eching

$$28 x ^ { 2 } = 3105 ^ { 2 }$$

x uchun yechish

$$x = \frac{3105 \sqrt{7}}{14} \approx 586,789844347$$

$$x = -\frac{3105 \sqrt{7}}{14} \approx -586,789844347$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 3105 ga hisoblang va 9641025 ni qiymatni oling.

$$28x^{2}=9641025$$

Ikki tarafini 28 ga bo‘ling.

$$x^{2}=\frac{9641025}{28}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{3105\sqrt{7}}{14} x=-\frac{3105\sqrt{7}}{14}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 3105 ga hisoblang va 9641025 ni qiymatni oling.

$$28x^{2}=9641025$$

Ikkala tarafdan 9641025 ni ayirish.

$$28x^{2}-9641025=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 28 ni a, 0 ni b va -9641025 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\left(-9641025\right)}}{2\times 28}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 28\left(-9641025\right)}}{2\times 28}$$

-4 ni 28 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-112\left(-9641025\right)}}{2\times 28}$$

-112 ni -9641025 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1079794800}}{2\times 28}$$

1079794800 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12420\sqrt{7}}{2\times 28}$$

2 ni 28 marotabaga ko'paytirish.

$$x=\frac{0±12420\sqrt{7}}{56}$$

x=\frac{0±12420\sqrt{7}}{56} tenglamasini yeching, bunda ± musbat.

$$x=\frac{3105\sqrt{7}}{14}$$

x=\frac{0±12420\sqrt{7}}{56} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{3105\sqrt{7}}{14}$$

Tenglama yechildi.

$$x=\frac{3105\sqrt{7}}{14} x=-\frac{3105\sqrt{7}}{14}$$