x^2+4x+2= eching

$${ x }^{ 2 } +4x+2=$$

Omil

$$\left(x-\left(-\sqrt{2}-2\right)\right)\left(x-\left(\sqrt{2}-2\right)\right)$$

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.

$$x^{2}+4x+2=0$$

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.

$$x=\frac{-4±\sqrt{4^{2}-4\times 2}}{2}$$

4 kvadratini chiqarish.

$$x=\frac{-4±\sqrt{16-4\times 2}}{2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{-4±\sqrt{16-8}}{2}$$

16 ni -8 ga qo'shish.

$$x=\frac{-4±\sqrt{8}}{2}$$

8 ning kvadrat ildizini chiqarish.

$$x=\frac{-4±2\sqrt{2}}{2}$$

x=\frac{-4±2\sqrt{2}}{2} tenglamasini yeching, bunda ± musbat. -4 ni 2\sqrt{2} ga qo'shish.

$$x=\frac{2\sqrt{2}-4}{2}$$

-4+2\sqrt{2} ni 2 ga bo'lish.

$$x=\sqrt{2}-2$$

x=\frac{-4±2\sqrt{2}}{2} tenglamasini yeching, bunda ± manfiy. -4 dan 2\sqrt{2} ni ayirish.

$$x=\frac{-2\sqrt{2}-4}{2}$$

-4-2\sqrt{2} ni 2 ga bo'lish.

$$x=-\sqrt{2}-2$$

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

$$x^{2}+4x+2=\left(x-\left(\sqrt{2}-2\right)\right)\left(x-\left(-\sqrt{2}-2\right)\right)$$

Baholash

$$x^{2}+4x+2$$