p^2=169 eching

$$p ^ { 2 } = 169$$

p uchun yechish

$$p=13$$

$$p=-13$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 169 ni ayirish.

$$p^{2}-169=0$$

Hisoblang: p^{2}-169. p^{2}-169 ni p^{2}-13^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(p-13\right)\left(p+13\right)=0$$

Tenglamani yechish uchun p-13=0 va p+13=0 ni yeching.

$$p=13 p=-13$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$p=13 p=-13$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 169 ni ayirish.

$$p^{2}-169=0$$

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 -169 ni c bilan almashtiring.

$$p=\frac{0±\sqrt{0^{2}-4\left(-169\right)}}{2}$$

0 kvadratini chiqarish.

$$p=\frac{0±\sqrt{-4\left(-169\right)}}{2}$$

-4 ni -169 marotabaga ko'paytirish.

$$p=\frac{0±\sqrt{676}}{2}$$

676 ning kvadrat ildizini chiqarish.

$$p=\frac{0±26}{2}$$

p=\frac{0±26}{2} tenglamasini yeching, bunda ± musbat. 26 ni 2 ga bo'lish.

$$p=13$$

p=\frac{0±26}{2} tenglamasini yeching, bunda ± manfiy. -26 ni 2 ga bo'lish.

$$p=-13$$

Tenglama yechildi.

$$p=13 p=-13$$