(x+3)(x-3)=3(-1) eching

$$(x+3)(x-3)=3(-1)$$

x uchun yechish

$$x=\sqrt{6}\approx 2,449489743$$

$$x=-\sqrt{6}\approx -2,449489743$$

Kvadrat ildizini topish bo'yicha qadamlar

Hisoblang: \left(x+3\right)\left(x-3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 3 kvadratini chiqarish.

$$x^{2}-9=3\left(-1\right)$$

-3 hosil qilish uchun 3 va -1 ni ko'paytirish.

$$x^{2}-9=-3$$

9 ni ikki tarafga qo’shing.

$$x^{2}=-3+9$$

6 olish uchun -3 va 9'ni qo'shing.

$$x^{2}=6$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{6} x=-\sqrt{6}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Hisoblang: \left(x+3\right)\left(x-3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 3 kvadratini chiqarish.

$$x^{2}-9=3\left(-1\right)$$

-3 hosil qilish uchun 3 va -1 ni ko'paytirish.

$$x^{2}-9=-3$$

3 ni ikki tarafga qo’shing.

$$x^{2}-9+3=0$$

-6 olish uchun -9 va 3'ni qo'shing.

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

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 -6 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{24}}{2}$$

24 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{6}}{2}$$

x=\frac{0±2\sqrt{6}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{6}$$

x=\frac{0±2\sqrt{6}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{6}$$

Tenglama yechildi.

$$x=\sqrt{6} x=-\sqrt{6}$$