2835x^2+391176x+228096 eching

$$2835 { x }^{ 2 } +391176x+228096$$

Omil

$$2835\left(x-\frac{-4\sqrt{3224281}-7244}{105}\right)\left(x-\frac{4\sqrt{3224281}-7244}{105}\right)$$

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.

$$2835x^{2}+391176x+228096=0$$

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.

$$x=\frac{-391176±\sqrt{391176^{2}-4\times 2835\times 228096}}{2\times 2835}$$

391176 kvadratini chiqarish.

$$x=\frac{-391176±\sqrt{153018662976-4\times 2835\times 228096}}{2\times 2835}$$

-4 ni 2835 marotabaga ko'paytirish.

$$x=\frac{-391176±\sqrt{153018662976-11340\times 228096}}{2\times 2835}$$

-11340 ni 228096 marotabaga ko'paytirish.

$$x=\frac{-391176±\sqrt{153018662976-2586608640}}{2\times 2835}$$

153018662976 ni -2586608640 ga qo'shish.

$$x=\frac{-391176±\sqrt{150432054336}}{2\times 2835}$$

150432054336 ning kvadrat ildizini chiqarish.

$$x=\frac{-391176±216\sqrt{3224281}}{2\times 2835}$$

2 ni 2835 marotabaga ko'paytirish.

$$x=\frac{-391176±216\sqrt{3224281}}{5670}$$

x=\frac{-391176±216\sqrt{3224281}}{5670} tenglamasini yeching, bunda ± musbat. -391176 ni 216\sqrt{3224281} ga qo'shish.

$$x=\frac{216\sqrt{3224281}-391176}{5670}$$

-391176+216\sqrt{3224281} ni 5670 ga bo'lish.

$$x=\frac{4\sqrt{3224281}-7244}{105}$$

x=\frac{-391176±216\sqrt{3224281}}{5670} tenglamasini yeching, bunda ± manfiy. -391176 dan 216\sqrt{3224281} ni ayirish.

$$x=\frac{-216\sqrt{3224281}-391176}{5670}$$

-391176-216\sqrt{3224281} ni 5670 ga bo'lish.

$$x=\frac{-4\sqrt{3224281}-7244}{105}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-7244+4\sqrt{3224281}}{105} ga va x_{2} uchun \frac{-7244-4\sqrt{3224281}}{105} ga bo‘ling.

$$2835x^{2}+391176x+228096=2835\left(x-\frac{4\sqrt{3224281}-7244}{105}\right)\left(x-\frac{-4\sqrt{3224281}-7244}{105}\right)$$

Baholash

$$2835x^{2}+391176x+228096$$