x^2-9=9 eching

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

x uchun yechish

$$x=3\sqrt{2}\approx 4,242640687$$

$$x=-3\sqrt{2}\approx -4,242640687$$

Kvadrat ildizini topish bo'yicha qadamlar

9 ni ikki tarafga qo’shing.

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

18 olish uchun 9 va 9'ni qo'shing.

$$x^{2}=18$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=3\sqrt{2} x=-3\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 9 ni ayirish.

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

-18 olish uchun -9 dan 9 ni ayirish.

$$x^{2}-18=0$$

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 -18 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-18\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-18\right)}}{2}$$

-4 ni -18 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{72}}{2}$$

72 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{2}}{2}$$

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

$$x=3\sqrt{2}$$

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

$$x=-3\sqrt{2}$$

Tenglama yechildi.

$$x=3\sqrt{2} x=-3\sqrt{2}$$