-2a^2-a eching

$$- 2 a ^ { 2 } - a$$

Omil

$$-a\left(2a+1\right)$$

Yechim qadamlari

a omili.

$$a\left(-2a-1\right)$$

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.

$$-2a^{2}-a=0$$

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.

$$a=\frac{-\left(-1\right)±\sqrt{1}}{2\left(-2\right)}$$

1 ning kvadrat ildizini chiqarish.

$$a=\frac{-\left(-1\right)±1}{2\left(-2\right)}$$

-1 ning teskarisi 1 ga teng.

$$a=\frac{1±1}{2\left(-2\right)}$$

2 ni -2 marotabaga ko'paytirish.

$$a=\frac{1±1}{-4}$$

a=\frac{1±1}{-4} tenglamasini yeching, bunda ± musbat. 1 ni 1 ga qo'shish.

$$a=\frac{2}{-4}$$

\frac{2}{-4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=-\frac{1}{2}$$

a=\frac{1±1}{-4} tenglamasini yeching, bunda ± manfiy. 1 dan 1 ni ayirish.

$$a=\frac{0}{-4}$$

0 ni -4 ga bo'lish.

$$a=0$$

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

$$-2a^{2}-a=-2\left(a-\left(-\frac{1}{2}\right)\right)a$$

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

$$-2a^{2}-a=-2\left(a+\frac{1}{2}\right)a$$

Umumiy maxrajni topib va hisoblovchini qo'shish orqali \frac{1}{2} ni a ga qo'shing. So'ngra agar imkoni bo'lsa kasrni eng kam shartga qisqartiring.

$$-2a^{2}-a=-2\times \frac{-2a-1}{-2}a$$

-2 va -2 ichida eng katta umumiy 2 faktorini bekor qiling.

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

Baholash

$$-a\left(2a+1\right)$$