V^2=1024 eching

$$V ^ { 2 } = 1024$$

V uchun yechish

$$V=32$$

$$V=-32$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 1024 ni ayirish.

$$V^{2}-1024=0$$

Hisoblang: V^{2}-1024. V^{2}-1024 ni V^{2}-32^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(V-32\right)\left(V+32\right)=0$$

Tenglamani yechish uchun V-32=0 va V+32=0 ni yeching.

$$V=32 V=-32$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$V=32 V=-32$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 1024 ni ayirish.

$$V^{2}-1024=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -1024 ni c bilan almashtiring.

$$V=\frac{0±\sqrt{0^{2}-4\left(-1024\right)}}{2}$$

0 kvadratini chiqarish.

$$V=\frac{0±\sqrt{-4\left(-1024\right)}}{2}$$

-4 ni -1024 marotabaga ko'paytirish.

$$V=\frac{0±\sqrt{4096}}{2}$$

4096 ning kvadrat ildizini chiqarish.

$$V=\frac{0±64}{2}$$

V=\frac{0±64}{2} tenglamasini yeching, bunda ± musbat. 64 ni 2 ga bo'lish.

$$V=32$$

V=\frac{0±64}{2} tenglamasini yeching, bunda ± manfiy. -64 ni 2 ga bo'lish.

$$V=-32$$

Tenglama yechildi.

$$V=32 V=-32$$