P^2-5=-4 eching

$$P ^ { 2 } - 5 = - 4$$

P uchun yechish

$$P=1$$

$$P=-1$$

Kvadratlar farqidan foydalangan qadamlar

4 ni ikki tarafga qo’shing.

$$P^{2}-5+4=0$$

-1 olish uchun -5 va 4'ni qo'shing.

$$P^{2}-1=0$$

Hisoblang: P^{2}-1. P^{2}-1 ni P^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(P-1\right)\left(P+1\right)=0$$

Tenglamani yechish uchun P-1=0 va P+1=0 ni yeching.

$$P=1 P=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

5 ni ikki tarafga qo’shing.

$$P^{2}=-4+5$$

1 olish uchun -4 va 5'ni qo'shing.

$$P^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$P=1 P=-1$$

Kvadrat tenglamalaridan foydalanish qoidalari

4 ni ikki tarafga qo’shing.

$$P^{2}-5+4=0$$

-1 olish uchun -5 va 4'ni qo'shing.

$$P^{2}-1=0$$

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 -1 ni c bilan almashtiring.

$$P=\frac{0±\sqrt{0^{2}-4\left(-1\right)}}{2}$$

0 kvadratini chiqarish.

$$P=\frac{0±\sqrt{-4\left(-1\right)}}{2}$$

-4 ni -1 marotabaga ko'paytirish.

$$P=\frac{0±\sqrt{4}}{2}$$

4 ning kvadrat ildizini chiqarish.

$$P=\frac{0±2}{2}$$

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

$$P=1$$

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

$$P=-1$$

Tenglama yechildi.

$$P=1 P=-1$$