2x^2+16x-1 eching

$$2 x ^ { 2 } + 16 x - 1$$

Omil

$$2\left(x-\left(-\frac{\sqrt{66}}{2}-4\right)\right)\left(x-\left(\frac{\sqrt{66}}{2}-4\right)\right)$$

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.

$$2x^{2}+16x-1=0$$

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.

$$x=\frac{-16±\sqrt{16^{2}-4\times 2\left(-1\right)}}{2\times 2}$$

16 kvadratini chiqarish.

$$x=\frac{-16±\sqrt{256-4\times 2\left(-1\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{-16±\sqrt{256-8\left(-1\right)}}{2\times 2}$$

-8 ni -1 marotabaga ko'paytirish.

$$x=\frac{-16±\sqrt{256+8}}{2\times 2}$$

256 ni 8 ga qo'shish.

$$x=\frac{-16±\sqrt{264}}{2\times 2}$$

264 ning kvadrat ildizini chiqarish.

$$x=\frac{-16±2\sqrt{66}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{-16±2\sqrt{66}}{4}$$

x=\frac{-16±2\sqrt{66}}{4} tenglamasini yeching, bunda ± musbat. -16 ni 2\sqrt{66} ga qo'shish.

$$x=\frac{2\sqrt{66}-16}{4}$$

-16+2\sqrt{66} ni 4 ga bo'lish.

$$x=\frac{\sqrt{66}}{2}-4$$

x=\frac{-16±2\sqrt{66}}{4} tenglamasini yeching, bunda ± manfiy. -16 dan 2\sqrt{66} ni ayirish.

$$x=\frac{-2\sqrt{66}-16}{4}$$

-16-2\sqrt{66} ni 4 ga bo'lish.

$$x=-\frac{\sqrt{66}}{2}-4$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun -4+\frac{\sqrt{66}}{2} ga va x_{2} uchun -4-\frac{\sqrt{66}}{2} ga bo‘ling.

$$2x^{2}+16x-1=2\left(x-\left(\frac{\sqrt{66}}{2}-4\right)\right)\left(x-\left(-\frac{\sqrt{66}}{2}-4\right)\right)$$

Baholash

$$2x^{2}+16x-1$$