a^2-2a-2 eching

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

Omil

$$\left(a-\left(1-\sqrt{3}\right)\right)\left(a-\left(\sqrt{3}+1\right)\right)$$

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.

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

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.

$$a=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\left(-2\right)}}{2}$$

-2 kvadratini chiqarish.

$$a=\frac{-\left(-2\right)±\sqrt{4-4\left(-2\right)}}{2}$$

-4 ni -2 marotabaga ko'paytirish.

$$a=\frac{-\left(-2\right)±\sqrt{4+8}}{2}$$

4 ni 8 ga qo'shish.

$$a=\frac{-\left(-2\right)±\sqrt{12}}{2}$$

12 ning kvadrat ildizini chiqarish.

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

-2 ning teskarisi 2 ga teng.

$$a=\frac{2±2\sqrt{3}}{2}$$

a=\frac{2±2\sqrt{3}}{2} tenglamasini yeching, bunda ± musbat. 2 ni 2\sqrt{3} ga qo'shish.

$$a=\frac{2\sqrt{3}+2}{2}$$

2+2\sqrt{3} ni 2 ga bo'lish.

$$a=\sqrt{3}+1$$

a=\frac{2±2\sqrt{3}}{2} tenglamasini yeching, bunda ± manfiy. 2 dan 2\sqrt{3} ni ayirish.

$$a=\frac{2-2\sqrt{3}}{2}$$

2-2\sqrt{3} ni 2 ga bo'lish.

$$a=1-\sqrt{3}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 1+\sqrt{3} ga va x_{2} uchun 1-\sqrt{3} ga bo‘ling.

$$a^{2}-2a-2=\left(a-\left(\sqrt{3}+1\right)\right)\left(a-\left(1-\sqrt{3}\right)\right)$$

Baholash

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