P(X)=X^2-4X eching

$$P ( X ) = X ^ { 2 } - 4 X$$

Omil

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

Yechim qadamlari

X omili.

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

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.

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

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.

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

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

$$X=\frac{-\left(-4\right)±4}{2}$$

-4 ning teskarisi 4 ga teng.

$$X=\frac{4±4}{2}$$

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

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

8 ni 2 ga bo'lish.

$$X=4$$

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

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

0 ni 2 ga bo'lish.

$$X=0$$

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.

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

Baholash

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