2560x*1080x=295969535 eching

$$2560x \times 1080x=295969535$$

x uchun yechish

$$x = \frac{\sqrt{887908605}}{2880} \approx 10,346456703$$

$$x = -\frac{\sqrt{887908605}}{2880} \approx -10,346456703$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$2560x^{2}\times 1080=295969535$$

2764800 hosil qilish uchun 2560 va 1080 ni ko'paytirish.

$$2764800x^{2}=295969535$$

Ikki tarafini 2764800 ga bo‘ling.

$$x^{2}=\frac{295969535}{2764800}$$

\frac{295969535}{2764800} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{59193907}{552960}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{887908605}}{2880} x=-\frac{\sqrt{887908605}}{2880}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$2560x^{2}\times 1080=295969535$$

2764800 hosil qilish uchun 2560 va 1080 ni ko'paytirish.

$$2764800x^{2}=295969535$$

Ikkala tarafdan 295969535 ni ayirish.

$$2764800x^{2}-295969535=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2764800 ni a, 0 ni b va -295969535 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2764800\left(-295969535\right)}}{2\times 2764800}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2764800\left(-295969535\right)}}{2\times 2764800}$$

-4 ni 2764800 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-11059200\left(-295969535\right)}}{2\times 2764800}$$

-11059200 ni -295969535 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{3273186281472000}}{2\times 2764800}$$

3273186281472000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±1920\sqrt{887908605}}{2\times 2764800}$$

2 ni 2764800 marotabaga ko'paytirish.

$$x=\frac{0±1920\sqrt{887908605}}{5529600}$$

x=\frac{0±1920\sqrt{887908605}}{5529600} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{887908605}}{2880}$$

x=\frac{0±1920\sqrt{887908605}}{5529600} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{887908605}}{2880}$$

Tenglama yechildi.

$$x=\frac{\sqrt{887908605}}{2880} x=-\frac{\sqrt{887908605}}{2880}$$