9x^2+48x-64 eching

$$9 { x }^{ 2 } +48x-64$$

Omil

$$9\left(x-\frac{-8\sqrt{2}-8}{3}\right)\left(x-\frac{8\sqrt{2}-8}{3}\right)$$

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.

$$9x^{2}+48x-64=0$$

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.

$$x=\frac{-48±\sqrt{48^{2}-4\times 9\left(-64\right)}}{2\times 9}$$

48 kvadratini chiqarish.

$$x=\frac{-48±\sqrt{2304-4\times 9\left(-64\right)}}{2\times 9}$$

-4 ni 9 marotabaga ko'paytirish.

$$x=\frac{-48±\sqrt{2304-36\left(-64\right)}}{2\times 9}$$

-36 ni -64 marotabaga ko'paytirish.

$$x=\frac{-48±\sqrt{2304+2304}}{2\times 9}$$

2304 ni 2304 ga qo'shish.

$$x=\frac{-48±\sqrt{4608}}{2\times 9}$$

4608 ning kvadrat ildizini chiqarish.

$$x=\frac{-48±48\sqrt{2}}{2\times 9}$$

2 ni 9 marotabaga ko'paytirish.

$$x=\frac{-48±48\sqrt{2}}{18}$$

x=\frac{-48±48\sqrt{2}}{18} tenglamasini yeching, bunda ± musbat. -48 ni 48\sqrt{2} ga qo'shish.

$$x=\frac{48\sqrt{2}-48}{18}$$

-48+48\sqrt{2} ni 18 ga bo'lish.

$$x=\frac{8\sqrt{2}-8}{3}$$

x=\frac{-48±48\sqrt{2}}{18} tenglamasini yeching, bunda ± manfiy. -48 dan 48\sqrt{2} ni ayirish.

$$x=\frac{-48\sqrt{2}-48}{18}$$

-48-48\sqrt{2} ni 18 ga bo'lish.

$$x=\frac{-8\sqrt{2}-8}{3}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-8+8\sqrt{2}}{3} ga va x_{2} uchun \frac{-8-8\sqrt{2}}{3} ga bo‘ling.

$$9x^{2}+48x-64=9\left(x-\frac{8\sqrt{2}-8}{3}\right)\left(x-\frac{-8\sqrt{2}-8}{3}\right)$$

Baholash

$$9x^{2}+48x-64$$