9xx=69 eching

$$9 x x = 69$$

x uchun yechish

$$x = \frac{\sqrt{69}}{3} \approx 2,768874621$$

$$x = -\frac{\sqrt{69}}{3} \approx -2,768874621$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$9x^{2}=69$$

Ikki tarafini 9 ga bo‘ling.

$$x^{2}=\frac{69}{9}$$

\frac{69}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{23}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{69}}{3} x=-\frac{\sqrt{69}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$9x^{2}=69$$

Ikkala tarafdan 69 ni ayirish.

$$9x^{2}-69=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 9 ni a, 0 ni b va -69 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 9\left(-69\right)}}{2\times 9}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 9\left(-69\right)}}{2\times 9}$$

-4 ni 9 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-36\left(-69\right)}}{2\times 9}$$

-36 ni -69 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{2484}}{2\times 9}$$

2484 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{69}}{2\times 9}$$

2 ni 9 marotabaga ko'paytirish.

$$x=\frac{0±6\sqrt{69}}{18}$$

x=\frac{0±6\sqrt{69}}{18} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{69}}{3}$$

x=\frac{0±6\sqrt{69}}{18} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{69}}{3}$$

Tenglama yechildi.

$$x=\frac{\sqrt{69}}{3} x=-\frac{\sqrt{69}}{3}$$