9c^2+36c eching

$$9 c ^ { 2 } + 36 c$$

Omil

$$9c\left(c+4\right)$$

Yechim qadamlari

9 omili.

$$9\left(c^{2}+4c\right)$$

Hisoblang: c^{2}+4c. c omili.

$$c\left(c+4\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$9c\left(c+4\right)$$

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.

$$9c^{2}+36c=0$$

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.

$$c=\frac{-36±\sqrt{36^{2}}}{2\times 9}$$

36^{2} ning kvadrat ildizini chiqarish.

$$c=\frac{-36±36}{2\times 9}$$

2 ni 9 marotabaga ko'paytirish.

$$c=\frac{-36±36}{18}$$

c=\frac{-36±36}{18} tenglamasini yeching, bunda ± musbat. -36 ni 36 ga qo'shish.

$$c=\frac{0}{18}$$

0 ni 18 ga bo'lish.

$$c=0$$

c=\frac{-36±36}{18} tenglamasini yeching, bunda ± manfiy. -36 dan 36 ni ayirish.

$$c=-\frac{72}{18}$$

-72 ni 18 ga bo'lish.

$$c=-4$$

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

$$9c^{2}+36c=9c\left(c-\left(-4\right)\right)$$

p-\left(-q\right) shaklining barcha amallarigani p+q ga soddalashtiring.

$$9c^{2}+36c=9c\left(c+4\right)$$

Baholash

$$9c\left(c+4\right)$$