5x(x)=180 eching

$$5 x ( x ) = 180$$

x uchun yechish

$$x=6$$

$$x=-6$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$5x^{2}=180$$

Ikki tarafini 5 ga bo‘ling.

$$x^{2}=\frac{180}{5}$$

36 ni olish uchun 180 ni 5 ga bo‘ling.

$$x^{2}=36$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=6 x=-6$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$5x^{2}=180$$

Ikkala tarafdan 180 ni ayirish.

$$5x^{2}-180=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 5 ni a, 0 ni b va -180 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 5\left(-180\right)}}{2\times 5}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 5\left(-180\right)}}{2\times 5}$$

-4 ni 5 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-20\left(-180\right)}}{2\times 5}$$

-20 ni -180 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{3600}}{2\times 5}$$

3600 ning kvadrat ildizini chiqarish.

$$x=\frac{0±60}{2\times 5}$$

2 ni 5 marotabaga ko'paytirish.

$$x=\frac{0±60}{10}$$

x=\frac{0±60}{10} tenglamasini yeching, bunda ± musbat. 60 ni 10 ga bo'lish.

$$x=6$$

x=\frac{0±60}{10} tenglamasini yeching, bunda ± manfiy. -60 ni 10 ga bo'lish.

$$x=-6$$

Tenglama yechildi.

$$x=6 x=-6$$