4p^2-7=13 eching

$$4 p ^ { 2 } - 7 = 13$$

p uchun yechish

$$p=\sqrt{5}\approx 2,236067977$$

$$p=-\sqrt{5}\approx -2,236067977$$

Kvadrat ildizini topish bo'yicha qadamlar

7 ni ikki tarafga qo’shing.

$$4p^{2}=13+7$$

20 olish uchun 13 va 7'ni qo'shing.

$$4p^{2}=20$$

Ikki tarafini 4 ga bo‘ling.

$$p^{2}=\frac{20}{4}$$

5 ni olish uchun 20 ni 4 ga bo‘ling.

$$p^{2}=5$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$p=\sqrt{5} p=-\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 13 ni ayirish.

$$4p^{2}-7-13=0$$

-20 olish uchun -7 dan 13 ni ayirish.

$$4p^{2}-20=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 4 ni a, 0 ni b va -20 ni c bilan almashtiring.

$$p=\frac{0±\sqrt{0^{2}-4\times 4\left(-20\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$p=\frac{0±\sqrt{-4\times 4\left(-20\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$p=\frac{0±\sqrt{-16\left(-20\right)}}{2\times 4}$$

-16 ni -20 marotabaga ko'paytirish.

$$p=\frac{0±\sqrt{320}}{2\times 4}$$

320 ning kvadrat ildizini chiqarish.

$$p=\frac{0±8\sqrt{5}}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$p=\frac{0±8\sqrt{5}}{8}$$

p=\frac{0±8\sqrt{5}}{8} tenglamasini yeching, bunda ± musbat.

$$p=\sqrt{5}$$

p=\frac{0±8\sqrt{5}}{8} tenglamasini yeching, bunda ± manfiy.

$$p=-\sqrt{5}$$

Tenglama yechildi.

$$p=\sqrt{5} p=-\sqrt{5}$$