5w*w=245 eching

$$5 w \cdot w = 245$$

w uchun yechish

$$w=7$$

$$w=-7$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$5w^{2}=245$$

Ikki tarafini 5 ga bo‘ling.

$$w^{2}=\frac{245}{5}$$

49 ni olish uchun 245 ni 5 ga bo‘ling.

$$w^{2}=49$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$w=7 w=-7$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$5w^{2}=245$$

Ikkala tarafdan 245 ni ayirish.

$$5w^{2}-245=0$$

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 -245 ni c bilan almashtiring.

$$w=\frac{0±\sqrt{0^{2}-4\times 5\left(-245\right)}}{2\times 5}$$

0 kvadratini chiqarish.

$$w=\frac{0±\sqrt{-4\times 5\left(-245\right)}}{2\times 5}$$

-4 ni 5 marotabaga ko'paytirish.

$$w=\frac{0±\sqrt{-20\left(-245\right)}}{2\times 5}$$

-20 ni -245 marotabaga ko'paytirish.

$$w=\frac{0±\sqrt{4900}}{2\times 5}$$

4900 ning kvadrat ildizini chiqarish.

$$w=\frac{0±70}{2\times 5}$$

2 ni 5 marotabaga ko'paytirish.

$$w=\frac{0±70}{10}$$

w=\frac{0±70}{10} tenglamasini yeching, bunda ± musbat. 70 ni 10 ga bo'lish.

$$w=7$$

w=\frac{0±70}{10} tenglamasini yeching, bunda ± manfiy. -70 ni 10 ga bo'lish.

$$w=-7$$

Tenglama yechildi.

$$w=7 w=-7$$