P^2=12P eching

$$P ^ { 2 } = 12 P$$

P uchun yechish

$$P=12$$

$$P=0$$

Faktorlash qadamlari

Ikkala tarafdan 12P ni ayirish.

$$P^{2}-12P=0$$

P omili.

$$P\left(P-12\right)=0$$

Tenglamani yechish uchun P=0 va P-12=0 ni yeching.

$$P=0 P=12$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 12P ni ayirish.

$$P^{2}-12P=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, -12 ni b va 0 ni c bilan almashtiring.

$$P=\frac{-\left(-12\right)±\sqrt{\left(-12\right)^{2}}}{2}$$

\left(-12\right)^{2} ning kvadrat ildizini chiqarish.

$$P=\frac{-\left(-12\right)±12}{2}$$

-12 ning teskarisi 12 ga teng.

$$P=\frac{12±12}{2}$$

P=\frac{12±12}{2} tenglamasini yeching, bunda ± musbat. 12 ni 12 ga qo'shish.

$$P=\frac{24}{2}$$

24 ni 2 ga bo'lish.

$$P=12$$

P=\frac{12±12}{2} tenglamasini yeching, bunda ± manfiy. 12 dan 12 ni ayirish.

$$P=\frac{0}{2}$$

0 ni 2 ga bo'lish.

$$P=0$$

Tenglama yechildi.

$$P=12 P=0$$

Kvadratni yakunlash bo'yicha qadamlar

Ikkala tarafdan 12P ni ayirish.

$$P^{2}-12P=0$$

-12 ni bo‘lish, x shartining koeffitsienti, 2 ga -6 olish uchun. Keyin, -6 ning kvadratini tenglamaning ikkala tarafiga qo‘shing. Ushbu qadam tenglamaning chap qismini mukammal kvadrat sifatida hosil qiladi.

$$P^{2}-12P+\left(-6\right)^{2}=\left(-6\right)^{2}$$

-6 kvadratini chiqarish.

$$P^{2}-12P+36=36$$

P^{2}-12P+36 omili. Odatda, x^{2}+bx+c mukammal kvadrat bo'lsa, u doimo \left(x+\frac{b}{2}\right)^{2} omil sifatida bo'lishi mumkin.

$$\left(P-6\right)^{2}=36$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$\sqrt{\left(P-6\right)^{2}}=\sqrt{36}$$

Qisqartirish.

$$P-6=6 P-6=-6$$

6 ni tenglamaning ikkala tarafiga qo'shish.

$$P=12 P=0$$