3x*x=50 eching

$$3x \times x=50$$

x uchun yechish

$$x = \frac{5 \sqrt{6}}{3} \approx 4,082482905$$

$$x = -\frac{5 \sqrt{6}}{3} \approx -4,082482905$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$3x^{2}=50$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=\frac{50}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$3x^{2}=50$$

Ikkala tarafdan 50 ni ayirish.

$$3x^{2}-50=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va -50 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-50\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 3\left(-50\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\left(-50\right)}}{2\times 3}$$

-12 ni -50 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{600}}{2\times 3}$$

600 ning kvadrat ildizini chiqarish.

$$x=\frac{0±10\sqrt{6}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±10\sqrt{6}}{6}$$

x=\frac{0±10\sqrt{6}}{6} tenglamasini yeching, bunda ± musbat.

$$x=\frac{5\sqrt{6}}{3}$$

x=\frac{0±10\sqrt{6}}{6} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{5\sqrt{6}}{3}$$

Tenglama yechildi.

$$x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}$$