5w*w=405 eching

$$5 w \times w = 405$$

w uchun yechish

$$w=9$$

$$w=-9$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$5w^{2}=405$$

Ikki tarafini 5 ga bo‘ling.

$$w^{2}=\frac{405}{5}$$

81 ni olish uchun 405 ni 5 ga bo‘ling.

$$w^{2}=81$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$w=9 w=-9$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$5w^{2}=405$$

Ikkala tarafdan 405 ni ayirish.

$$5w^{2}-405=0$$

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 -405 ni c bilan almashtiring.

$$w=\frac{0±\sqrt{0^{2}-4\times 5\left(-405\right)}}{2\times 5}$$

0 kvadratini chiqarish.

$$w=\frac{0±\sqrt{-4\times 5\left(-405\right)}}{2\times 5}$$

-4 ni 5 marotabaga ko'paytirish.

$$w=\frac{0±\sqrt{-20\left(-405\right)}}{2\times 5}$$

-20 ni -405 marotabaga ko'paytirish.

$$w=\frac{0±\sqrt{8100}}{2\times 5}$$

8100 ning kvadrat ildizini chiqarish.

$$w=\frac{0±90}{2\times 5}$$

2 ni 5 marotabaga ko'paytirish.

$$w=\frac{0±90}{10}$$

w=\frac{0±90}{10} tenglamasini yeching, bunda ± musbat. 90 ni 10 ga bo'lish.

$$w=9$$

w=\frac{0±90}{10} tenglamasini yeching, bunda ± manfiy. -90 ni 10 ga bo'lish.

$$w=-9$$

Tenglama yechildi.

$$w=9 w=-9$$