3y^2=48 eching

$$3 y ^ { 2 } = 48$$

y uchun yechish

$$y=4$$

$$y=-4$$

Kvadratlar farqidan foydalangan qadamlar

Ikki tarafini 3 ga bo‘ling.

$$y^{2}=\frac{48}{3}$$

16 ni olish uchun 48 ni 3 ga bo‘ling.

$$y^{2}=16$$

Ikkala tarafdan 16 ni ayirish.

$$y^{2}-16=0$$

Hisoblang: y^{2}-16. y^{2}-16 ni y^{2}-4^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(y-4\right)\left(y+4\right)=0$$

Tenglamani yechish uchun y-4=0 va y+4=0 ni yeching.

$$y=4 y=-4$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 3 ga bo‘ling.

$$y^{2}=\frac{48}{3}$$

16 ni olish uchun 48 ni 3 ga bo‘ling.

$$y^{2}=16$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=4 y=-4$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 3 ga bo‘ling.

$$y^{2}=\frac{48}{3}$$

16 ni olish uchun 48 ni 3 ga bo‘ling.

$$y^{2}=16$$

Ikkala tarafdan 16 ni ayirish.

$$y^{2}-16=0$$

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 -16 ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\left(-16\right)}}{2}$$

0 kvadratini chiqarish.

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

-4 ni -16 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{64}}{2}$$

64 ning kvadrat ildizini chiqarish.

$$y=\frac{0±8}{2}$$

y=\frac{0±8}{2} tenglamasini yeching, bunda ± musbat. 8 ni 2 ga bo'lish.

$$y=4$$

y=\frac{0±8}{2} tenglamasini yeching, bunda ± manfiy. -8 ni 2 ga bo'lish.

$$y=-4$$

Tenglama yechildi.

$$y=4 y=-4$$