4x^2=3*10000 eching

$$4 { x }^{ 2 } = 3 \cdot 10000$$

x uchun yechish

$$x=50\sqrt{3}\approx 86,602540378$$

$$x=-50\sqrt{3}\approx -86,602540378$$

Kvadrat ildizini topish bo'yicha qadamlar

30000 hosil qilish uchun 3 va 10000 ni ko'paytirish.

$$4x^{2}=30000$$

Ikki tarafini 4 ga bo‘ling.

$$x^{2}=\frac{30000}{4}$$

7500 ni olish uchun 30000 ni 4 ga bo‘ling.

$$x^{2}=7500$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=50\sqrt{3} x=-50\sqrt{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

30000 hosil qilish uchun 3 va 10000 ni ko'paytirish.

$$4x^{2}=30000$$

Ikkala tarafdan 30000 ni ayirish.

$$4x^{2}-30000=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 4 ni a, 0 ni b va -30000 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-30000\right)}}{2\times 4}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 4\left(-30000\right)}}{2\times 4}$$

-4 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-16\left(-30000\right)}}{2\times 4}$$

-16 ni -30000 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{480000}}{2\times 4}$$

480000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±400\sqrt{3}}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$x=\frac{0±400\sqrt{3}}{8}$$

x=\frac{0±400\sqrt{3}}{8} tenglamasini yeching, bunda ± musbat.

$$x=50\sqrt{3}$$

x=\frac{0±400\sqrt{3}}{8} tenglamasini yeching, bunda ± manfiy.

$$x=-50\sqrt{3}$$

Tenglama yechildi.

$$x=50\sqrt{3} x=-50\sqrt{3}$$