4k^2-8k eching

$$4 k ^ { 2 } - 8 k$$

Omil

$$4k\left(k-2\right)$$

Yechim qadamlari

4 omili.

$$4\left(k^{2}-2k\right)$$

Hisoblang: k^{2}-2k. k omili.

$$k\left(k-2\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$4k\left(k-2\right)$$

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

$$4k^{2}-8k=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$k=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}}}{2\times 4}$$

\left(-8\right)^{2} ning kvadrat ildizini chiqarish.

$$k=\frac{-\left(-8\right)±8}{2\times 4}$$

-8 ning teskarisi 8 ga teng.

$$k=\frac{8±8}{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$k=\frac{8±8}{8}$$

k=\frac{8±8}{8} tenglamasini yeching, bunda ± musbat. 8 ni 8 ga qo'shish.

$$k=\frac{16}{8}$$

16 ni 8 ga bo'lish.

$$k=2$$

k=\frac{8±8}{8} tenglamasini yeching, bunda ± manfiy. 8 dan 8 ni ayirish.

$$k=\frac{0}{8}$$

0 ni 8 ga bo'lish.

$$k=0$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 2 ga va x_{2} uchun 0 ga bo‘ling.

$$4k^{2}-8k=4\left(k-2\right)k$$

Baholash

$$4k\left(k-2\right)$$