xx+1=2 eching

$$xx+1 = 2$$

x uchun yechish

$$x=1$$

$$x=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}+1=2$$

Ikkala tarafdan 1 ni ayirish.

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

1 olish uchun 2 dan 1 ni ayirish.

$$x^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=1 x=-1$$

Kvadrat tenglamalaridan foydalanish qoidalari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}+1=2$$

Ikkala tarafdan 2 ni ayirish.

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

-1 olish uchun 1 dan 2 ni ayirish.

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

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.

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

0 kvadratini chiqarish.

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

-4 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4}}{2}$$

4 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2}{2}$$

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

$$x=1$$

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

$$x=-1$$

Tenglama yechildi.

$$x=1 x=-1$$