x*2x=400000 eching

$$x \times 2x = 400000$$

x uchun yechish

$$x=200\sqrt{5}\approx 447,2135955$$

$$x=-200\sqrt{5}\approx -447,2135955$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$x^{2}\times 2=400000$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{400000}{2}$$

200000 ni olish uchun 400000 ni 2 ga bo‘ling.

$$x^{2}=200000$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=200\sqrt{5} x=-200\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$x^{2}\times 2=400000$$

Ikkala tarafdan 400000 ni ayirish.

$$x^{2}\times 2-400000=0$$

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$2x^{2}-400000=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2 ni a, 0 ni b va -400000 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-400000\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\left(-400000\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\left(-400000\right)}}{2\times 2}$$

-8 ni -400000 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{3200000}}{2\times 2}$$

3200000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±800\sqrt{5}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±800\sqrt{5}}{4}$$

x=\frac{0±800\sqrt{5}}{4} tenglamasini yeching, bunda ± musbat.

$$x=200\sqrt{5}$$

x=\frac{0±800\sqrt{5}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-200\sqrt{5}$$

Tenglama yechildi.

$$x=200\sqrt{5} x=-200\sqrt{5}$$