c^2=13^2+84^2 eching

$$c ^ { 2 } = 13 ^ { 2 } + 84 ^ { 2 }$$

c uchun yechish

$$c=-85$$

$$c=85$$

Kvadratlar farqidan foydalangan qadamlar

2 daraja ko‘rsatkichini 13 ga hisoblang va 169 ni qiymatni oling.

$$c^{2}=169+84^{2}$$

2 daraja ko‘rsatkichini 84 ga hisoblang va 7056 ni qiymatni oling.

$$c^{2}=169+7056$$

7225 olish uchun 169 va 7056'ni qo'shing.

$$c^{2}=7225$$

Ikkala tarafdan 7225 ni ayirish.

$$c^{2}-7225=0$$

Hisoblang: c^{2}-7225. c^{2}-7225 ni c^{2}-85^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(c-85\right)\left(c+85\right)=0$$

Tenglamani yechish uchun c-85=0 va c+85=0 ni yeching.

$$c=85 c=-85$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 13 ga hisoblang va 169 ni qiymatni oling.

$$c^{2}=169+84^{2}$$

2 daraja ko‘rsatkichini 84 ga hisoblang va 7056 ni qiymatni oling.

$$c^{2}=169+7056$$

7225 olish uchun 169 va 7056'ni qo'shing.

$$c^{2}=7225$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$c=85 c=-85$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 13 ga hisoblang va 169 ni qiymatni oling.

$$c^{2}=169+84^{2}$$

2 daraja ko‘rsatkichini 84 ga hisoblang va 7056 ni qiymatni oling.

$$c^{2}=169+7056$$

7225 olish uchun 169 va 7056'ni qo'shing.

$$c^{2}=7225$$

Ikkala tarafdan 7225 ni ayirish.

$$c^{2}-7225=0$$

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 -7225 ni c bilan almashtiring.

$$c=\frac{0±\sqrt{0^{2}-4\left(-7225\right)}}{2}$$

0 kvadratini chiqarish.

$$c=\frac{0±\sqrt{-4\left(-7225\right)}}{2}$$

-4 ni -7225 marotabaga ko'paytirish.

$$c=\frac{0±\sqrt{28900}}{2}$$

28900 ning kvadrat ildizini chiqarish.

$$c=\frac{0±170}{2}$$

c=\frac{0±170}{2} tenglamasini yeching, bunda ± musbat. 170 ni 2 ga bo'lish.

$$c=85$$

c=\frac{0±170}{2} tenglamasini yeching, bunda ± manfiy. -170 ni 2 ga bo'lish.

$$c=-85$$

Tenglama yechildi.

$$c=85 c=-85$$