5x^2-15x eching

$$5 x ^ { 2 } - 15 x$$

Omil

$$5x\left(x-3\right)$$

Yechim qadamlari

5 omili.

$$5\left(x^{2}-3x\right)$$

Hisoblang: x^{2}-3x. x omili.

$$x\left(x-3\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$5x\left(x-3\right)$$

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.

$$5x^{2}-15x=0$$

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.

$$x=\frac{-\left(-15\right)±\sqrt{\left(-15\right)^{2}}}{2\times 5}$$

\left(-15\right)^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-15\right)±15}{2\times 5}$$

-15 ning teskarisi 15 ga teng.

$$x=\frac{15±15}{2\times 5}$$

2 ni 5 marotabaga ko'paytirish.

$$x=\frac{15±15}{10}$$

x=\frac{15±15}{10} tenglamasini yeching, bunda ± musbat. 15 ni 15 ga qo'shish.

$$x=\frac{30}{10}$$

30 ni 10 ga bo'lish.

$$x=3$$

x=\frac{15±15}{10} tenglamasini yeching, bunda ± manfiy. 15 dan 15 ni ayirish.

$$x=\frac{0}{10}$$

0 ni 10 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 3 ga va x_{2} uchun 0 ga bo‘ling.

$$5x^{2}-15x=5\left(x-3\right)x$$

Baholash

$$5x\left(x-3\right)$$