z^2-10z eching

$${ z }^{ 2 } -10z$$

Omil

$$z\left(z-10\right)$$

Yechim qadamlari

z omili.

$$z\left(z-10\right)$$

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.

$$z^{2}-10z=0$$

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.

$$z=\frac{-\left(-10\right)±\sqrt{\left(-10\right)^{2}}}{2}$$

\left(-10\right)^{2} ning kvadrat ildizini chiqarish.

$$z=\frac{-\left(-10\right)±10}{2}$$

-10 ning teskarisi 10 ga teng.

$$z=\frac{10±10}{2}$$

z=\frac{10±10}{2} tenglamasini yeching, bunda ± musbat. 10 ni 10 ga qo'shish.

$$z=\frac{20}{2}$$

20 ni 2 ga bo'lish.

$$z=10$$

z=\frac{10±10}{2} tenglamasini yeching, bunda ± manfiy. 10 dan 10 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 10 ga va x_{2} uchun 0 ga bo‘ling.

$$z^{2}-10z=\left(z-10\right)z$$

Baholash

$$z\left(z-10\right)$$