c^2=12^2+25^2 eching

$$c ^ { 2 } = 12 ^ { 2 } + 25 ^ { 2 }$$

c uchun yechish

$$c=\sqrt{769}\approx 27,730849248$$

$$c=-\sqrt{769}\approx -27,730849248$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$c^{2}=144+25^{2}$$

2 daraja ko‘rsatkichini 25 ga hisoblang va 625 ni qiymatni oling.

$$c^{2}=144+625$$

769 olish uchun 144 va 625'ni qo'shing.

$$c^{2}=769$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$c=\sqrt{769} c=-\sqrt{769}$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$c^{2}=144+25^{2}$$

2 daraja ko‘rsatkichini 25 ga hisoblang va 625 ni qiymatni oling.

$$c^{2}=144+625$$

769 olish uchun 144 va 625'ni qo'shing.

$$c^{2}=769$$

Ikkala tarafdan 769 ni ayirish.

$$c^{2}-769=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -769 ni c bilan almashtiring.

$$c=\frac{0±\sqrt{0^{2}-4\left(-769\right)}}{2}$$

0 kvadratini chiqarish.

$$c=\frac{0±\sqrt{-4\left(-769\right)}}{2}$$

-4 ni -769 marotabaga ko'paytirish.

$$c=\frac{0±\sqrt{3076}}{2}$$

3076 ning kvadrat ildizini chiqarish.

$$c=\frac{0±2\sqrt{769}}{2}$$

c=\frac{0±2\sqrt{769}}{2} tenglamasini yeching, bunda ± musbat.

$$c=\sqrt{769}$$

c=\frac{0±2\sqrt{769}}{2} tenglamasini yeching, bunda ± manfiy.

$$c=-\sqrt{769}$$

Tenglama yechildi.

$$c=\sqrt{769} c=-\sqrt{769}$$