x^2-215x+3 eching

$$x ^ { 2 } - 215 x + 3$$

Omil

$$\left(x-\frac{215-\sqrt{46213}}{2}\right)\left(x-\frac{\sqrt{46213}+215}{2}\right)$$

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.

$$x^{2}-215x+3=0$$

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.

$$x=\frac{-\left(-215\right)±\sqrt{\left(-215\right)^{2}-4\times 3}}{2}$$

-215 kvadratini chiqarish.

$$x=\frac{-\left(-215\right)±\sqrt{46225-4\times 3}}{2}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{-\left(-215\right)±\sqrt{46225-12}}{2}$$

46225 ni -12 ga qo'shish.

$$x=\frac{-\left(-215\right)±\sqrt{46213}}{2}$$

-215 ning teskarisi 215 ga teng.

$$x=\frac{215±\sqrt{46213}}{2}$$

x=\frac{215±\sqrt{46213}}{2} tenglamasini yeching, bunda ± musbat. 215 ni \sqrt{46213} ga qo'shish.

$$x=\frac{\sqrt{46213}+215}{2}$$

x=\frac{215±\sqrt{46213}}{2} tenglamasini yeching, bunda ± manfiy. 215 dan \sqrt{46213} ni ayirish.

$$x=\frac{215-\sqrt{46213}}{2}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{215+\sqrt{46213}}{2} ga va x_{2} uchun \frac{215-\sqrt{46213}}{2} ga bo‘ling.

$$x^{2}-215x+3=\left(x-\frac{\sqrt{46213}+215}{2}\right)\left(x-\frac{215-\sqrt{46213}}{2}\right)$$

Baholash

$$x^{2}-215x+3$$