x:2x=400000 eching

$$x : 2 x = 400000$$

x uchun yechish

$$x=400\sqrt{5}\approx 894,427191$$

$$x=-400\sqrt{5}\approx -894,427191$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$xx=800000$$

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

$$x^{2}=800000$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=400\sqrt{5} x=-400\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$xx=800000$$

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

$$x^{2}=800000$$

Ikkala tarafdan 800000 ni ayirish.

$$x^{2}-800000=0$$

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 -800000 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-800000\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-800000\right)}}{2}$$

-4 ni -800000 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{3200000}}{2}$$

3200000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±800\sqrt{5}}{2}$$

x=\frac{0±800\sqrt{5}}{2} tenglamasini yeching, bunda ± musbat.

$$x=400\sqrt{5}$$

x=\frac{0±800\sqrt{5}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-400\sqrt{5}$$

Tenglama yechildi.

$$x=400\sqrt{5} x=-400\sqrt{5}$$