z^2-4z eching

$${ z }^{ 2 } -4z$$

Omil

$$z\left(z-4\right)$$

Yechim qadamlari

z omili.

$$z\left(z-4\right)$$

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.

$$z^{2}-4z=0$$

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.

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

\left(-4\right)^{2} ning kvadrat ildizini chiqarish.

$$z=\frac{-\left(-4\right)±4}{2}$$

-4 ning teskarisi 4 ga teng.

$$z=\frac{4±4}{2}$$

z=\frac{4±4}{2} tenglamasini yeching, bunda ± musbat. 4 ni 4 ga qo'shish.

$$z=\frac{8}{2}$$

8 ni 2 ga bo'lish.

$$z=4$$

z=\frac{4±4}{2} tenglamasini yeching, bunda ± manfiy. 4 dan 4 ni ayirish.

$$z=\frac{0}{2}$$

0 ni 2 ga bo'lish.

$$z=0$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 4 ga va x_{2} uchun 0 ga bo‘ling.

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

Baholash

$$z\left(z-4\right)$$