x^2+64x-566 eching

$${ x }^{ 2 } +64x-566$$

Omil

$$\left(x-\left(-\sqrt{1590}-32\right)\right)\left(x-\left(\sqrt{1590}-32\right)\right)$$

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.

$$x^{2}+64x-566=0$$

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.

$$x=\frac{-64±\sqrt{64^{2}-4\left(-566\right)}}{2}$$

64 kvadratini chiqarish.

$$x=\frac{-64±\sqrt{4096-4\left(-566\right)}}{2}$$

-4 ni -566 marotabaga ko'paytirish.

$$x=\frac{-64±\sqrt{4096+2264}}{2}$$

4096 ni 2264 ga qo'shish.

$$x=\frac{-64±\sqrt{6360}}{2}$$

6360 ning kvadrat ildizini chiqarish.

$$x=\frac{-64±2\sqrt{1590}}{2}$$

x=\frac{-64±2\sqrt{1590}}{2} tenglamasini yeching, bunda ± musbat. -64 ni 2\sqrt{1590} ga qo'shish.

$$x=\frac{2\sqrt{1590}-64}{2}$$

-64+2\sqrt{1590} ni 2 ga bo'lish.

$$x=\sqrt{1590}-32$$

x=\frac{-64±2\sqrt{1590}}{2} tenglamasini yeching, bunda ± manfiy. -64 dan 2\sqrt{1590} ni ayirish.

$$x=\frac{-2\sqrt{1590}-64}{2}$$

-64-2\sqrt{1590} ni 2 ga bo'lish.

$$x=-\sqrt{1590}-32$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun -32+\sqrt{1590} ga va x_{2} uchun -32-\sqrt{1590} ga bo‘ling.

$$x^{2}+64x-566=\left(x-\left(\sqrt{1590}-32\right)\right)\left(x-\left(-\sqrt{1590}-32\right)\right)$$

Baholash

$$x^{2}+64x-566$$