3y^2/2-6=0 eching

$$\frac { 3 y ^ { 2 } } { 2 } - 6 = 0$$

y uchun yechish

$$y=2$$

$$y=-2$$

Kvadratlar farqidan foydalangan qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$3y^{2}-12=0$$

Ikki tarafini 3 ga bo‘ling.

$$y^{2}-4=0$$

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

$$\left(y-2\right)\left(y+2\right)=0$$

Tenglamani yechish uchun y-2=0 va y+2=0 ni yeching.

$$y=2 y=-2$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$3y^{2}-12=0$$

12 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$3y^{2}=12$$

Ikki tarafini 3 ga bo‘ling.

$$y^{2}=\frac{12}{3}$$

4 ni olish uchun 12 ni 3 ga bo‘ling.

$$y^{2}=4$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=2 y=-2$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$3y^{2}-12=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va -12 ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\times 3\left(-12\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\times 3\left(-12\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{-12\left(-12\right)}}{2\times 3}$$

-12 ni -12 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{144}}{2\times 3}$$

144 ning kvadrat ildizini chiqarish.

$$y=\frac{0±12}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$y=\frac{0±12}{6}$$

y=\frac{0±12}{6} tenglamasini yeching, bunda ± musbat. 12 ni 6 ga bo'lish.

$$y=2$$

y=\frac{0±12}{6} tenglamasini yeching, bunda ± manfiy. -12 ni 6 ga bo'lish.

$$y=-2$$

Tenglama yechildi.

$$y=2 y=-2$$