15a-3a^2 eching

$$15 a - 3 a ^ { 2 }$$

Omil

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

Yechim qadamlari

3 omili.

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

Hisoblang: 5a-a^{2}. a omili.

$$a\left(5-a\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$3a\left(-a+5\right)$$

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.

$$-3a^{2}+15a=0$$

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.

$$a=\frac{-15±\sqrt{15^{2}}}{2\left(-3\right)}$$

15^{2} ning kvadrat ildizini chiqarish.

$$a=\frac{-15±15}{2\left(-3\right)}$$

2 ni -3 marotabaga ko'paytirish.

$$a=\frac{-15±15}{-6}$$

a=\frac{-15±15}{-6} tenglamasini yeching, bunda ± musbat. -15 ni 15 ga qo'shish.

$$a=\frac{0}{-6}$$

0 ni -6 ga bo'lish.

$$a=0$$

a=\frac{-15±15}{-6} tenglamasini yeching, bunda ± manfiy. -15 dan 15 ni ayirish.

$$a=-\frac{30}{-6}$$

-30 ni -6 ga bo'lish.

$$a=5$$

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 5 ga bo‘ling.

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

Baholash

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