6x^2-4-2=0 eching

$$6 x ^ { 2 } - 4 - 2 = 0$$

x uchun yechish

$$x=1$$

$$x=-1$$

Kvadratlar farqidan foydalangan qadamlar

-6 olish uchun -4 dan 2 ni ayirish.

$$6x^{2}-6=0$$

Ikki tarafini 6 ga bo‘ling.

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

Hisoblang: x^{2}-1. x^{2}-1 ni x^{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).

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

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

$$x=1 x=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

-6 olish uchun -4 dan 2 ni ayirish.

$$6x^{2}-6=0$$

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

$$6x^{2}=6$$

Ikki tarafini 6 ga bo‘ling.

$$x^{2}=\frac{6}{6}$$

1 ni olish uchun 6 ni 6 ga bo‘ling.

$$x^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=1 x=-1$$

Kvadrat tenglamalaridan foydalanish qoidalari

-6 olish uchun -4 dan 2 ni ayirish.

$$6x^{2}-6=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 6 ni a, 0 ni b va -6 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-6\right)}}{2\times 6}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 6\left(-6\right)}}{2\times 6}$$

-4 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-24\left(-6\right)}}{2\times 6}$$

-24 ni -6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{144}}{2\times 6}$$

144 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12}{2\times 6}$$

2 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±12}{12}$$

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

$$x=1$$

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

$$x=-1$$

Tenglama yechildi.

$$x=1 x=-1$$