6x^2-6x eching

$$6 x ^ { 2 } - 6 x$$

Omil

$$6x\left(x-1\right)$$

Yechim qadamlari

6 omili.

$$6\left(x^{2}-x\right)$$

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

$$x\left(x-1\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$6x\left(x-1\right)$$

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.

$$6x^{2}-6x=0$$

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.

$$x=\frac{-\left(-6\right)±\sqrt{\left(-6\right)^{2}}}{2\times 6}$$

\left(-6\right)^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-6\right)±6}{2\times 6}$$

-6 ning teskarisi 6 ga teng.

$$x=\frac{6±6}{2\times 6}$$

2 ni 6 marotabaga ko'paytirish.

$$x=\frac{6±6}{12}$$

x=\frac{6±6}{12} tenglamasini yeching, bunda ± musbat. 6 ni 6 ga qo'shish.

$$x=\frac{12}{12}$$

12 ni 12 ga bo'lish.

$$x=1$$

x=\frac{6±6}{12} tenglamasini yeching, bunda ± manfiy. 6 dan 6 ni ayirish.

$$x=\frac{0}{12}$$

0 ni 12 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 1 ga va x_{2} uchun 0 ga bo‘ling.

$$6x^{2}-6x=6\left(x-1\right)x$$

Baholash

$$6x\left(x-1\right)$$