3x*2x=300 eching

$$3 x \cdot 2 x = 300$$

x uchun yechish

$$x=5\sqrt{2}\approx 7,071067812$$

$$x=-5\sqrt{2}\approx -7,071067812$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$3x^{2}\times 2=300$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$6x^{2}=300$$

Ikki tarafini 6 ga bo‘ling.

$$x^{2}=\frac{300}{6}$$

50 ni olish uchun 300 ni 6 ga bo‘ling.

$$x^{2}=50$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=5\sqrt{2} x=-5\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$3x^{2}\times 2=300$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$6x^{2}=300$$

Ikkala tarafdan 300 ni ayirish.

$$6x^{2}-300=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 6 ni a, 0 ni b va -300 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-300\right)}}{2\times 6}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 6\left(-300\right)}}{2\times 6}$$

-4 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-24\left(-300\right)}}{2\times 6}$$

-24 ni -300 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{7200}}{2\times 6}$$

7200 ning kvadrat ildizini chiqarish.

$$x=\frac{0±60\sqrt{2}}{2\times 6}$$

2 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±60\sqrt{2}}{12}$$

x=\frac{0±60\sqrt{2}}{12} tenglamasini yeching, bunda ± musbat.

$$x=5\sqrt{2}$$

x=\frac{0±60\sqrt{2}}{12} tenglamasini yeching, bunda ± manfiy.

$$x=-5\sqrt{2}$$

Tenglama yechildi.

$$x=5\sqrt{2} x=-5\sqrt{2}$$