15x*x=300 eching

$$15 x \times x = 300$$

x uchun yechish

$$x=2\sqrt{5}\approx 4,472135955$$

$$x=-2\sqrt{5}\approx -4,472135955$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$15x^{2}=300$$

Ikki tarafini 15 ga bo‘ling.

$$x^{2}=\frac{300}{15}$$

20 ni olish uchun 300 ni 15 ga bo‘ling.

$$x^{2}=20$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$15x^{2}=300$$

Ikkala tarafdan 300 ni ayirish.

$$15x^{2}-300=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 15 ni a, 0 ni b va -300 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 15\left(-300\right)}}{2\times 15}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 15\left(-300\right)}}{2\times 15}$$

-4 ni 15 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-60\left(-300\right)}}{2\times 15}$$

-60 ni -300 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{18000}}{2\times 15}$$

18000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±60\sqrt{5}}{2\times 15}$$

2 ni 15 marotabaga ko'paytirish.

$$x=\frac{0±60\sqrt{5}}{30}$$

x=\frac{0±60\sqrt{5}}{30} tenglamasini yeching, bunda ± musbat.

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

x=\frac{0±60\sqrt{5}}{30} tenglamasini yeching, bunda ± manfiy.

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

Tenglama yechildi.

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