54x^2+863x-432 eching

$$54 x ^ { 2 } + 863 x - 432$$

Omil

$$54\left(x-\frac{-\sqrt{838081}-863}{108}\right)\left(x-\frac{\sqrt{838081}-863}{108}\right)$$

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.

$$54x^{2}+863x-432=0$$

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.

$$x=\frac{-863±\sqrt{863^{2}-4\times 54\left(-432\right)}}{2\times 54}$$

863 kvadratini chiqarish.

$$x=\frac{-863±\sqrt{744769-4\times 54\left(-432\right)}}{2\times 54}$$

-4 ni 54 marotabaga ko'paytirish.

$$x=\frac{-863±\sqrt{744769-216\left(-432\right)}}{2\times 54}$$

-216 ni -432 marotabaga ko'paytirish.

$$x=\frac{-863±\sqrt{744769+93312}}{2\times 54}$$

744769 ni 93312 ga qo'shish.

$$x=\frac{-863±\sqrt{838081}}{2\times 54}$$

2 ni 54 marotabaga ko'paytirish.

$$x=\frac{-863±\sqrt{838081}}{108}$$

x=\frac{-863±\sqrt{838081}}{108} tenglamasini yeching, bunda ± musbat. -863 ni \sqrt{838081} ga qo'shish.

$$x=\frac{\sqrt{838081}-863}{108}$$

x=\frac{-863±\sqrt{838081}}{108} tenglamasini yeching, bunda ± manfiy. -863 dan \sqrt{838081} ni ayirish.

$$x=\frac{-\sqrt{838081}-863}{108}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-863+\sqrt{838081}}{108} ga va x_{2} uchun \frac{-863-\sqrt{838081}}{108} ga bo‘ling.

$$54x^{2}+863x-432=54\left(x-\frac{\sqrt{838081}-863}{108}\right)\left(x-\frac{-\sqrt{838081}-863}{108}\right)$$

Baholash

$$54x^{2}+863x-432$$