(720x)x=2592 eching

$$(720x)x = 2592$$

x uchun yechish

$$x = \frac{3 \sqrt{10}}{5} \approx 1,897366596$$

$$x = -\frac{3 \sqrt{10}}{5} \approx -1,897366596$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$720x^{2}=2592$$

Ikki tarafini 720 ga bo‘ling.

$$x^{2}=\frac{2592}{720}$$

\frac{2592}{720} ulushini 144 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{18}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{3\sqrt{10}}{5} x=-\frac{3\sqrt{10}}{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$720x^{2}=2592$$

Ikkala tarafdan 2592 ni ayirish.

$$720x^{2}-2592=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 720 ni a, 0 ni b va -2592 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 720\left(-2592\right)}}{2\times 720}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 720\left(-2592\right)}}{2\times 720}$$

-4 ni 720 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-2880\left(-2592\right)}}{2\times 720}$$

-2880 ni -2592 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{7464960}}{2\times 720}$$

7464960 ning kvadrat ildizini chiqarish.

$$x=\frac{0±864\sqrt{10}}{2\times 720}$$

2 ni 720 marotabaga ko'paytirish.

$$x=\frac{0±864\sqrt{10}}{1440}$$

x=\frac{0±864\sqrt{10}}{1440} tenglamasini yeching, bunda ± musbat.

$$x=\frac{3\sqrt{10}}{5}$$

x=\frac{0±864\sqrt{10}}{1440} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{3\sqrt{10}}{5}$$

Tenglama yechildi.

$$x=\frac{3\sqrt{10}}{5} x=-\frac{3\sqrt{10}}{5}$$