x^2-97x+108 eching

$$x ^ { 2 } - 97 x + 108$$

Omil

$$\left(x-\frac{97-\sqrt{8977}}{2}\right)\left(x-\frac{\sqrt{8977}+97}{2}\right)$$

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.

$$x^{2}-97x+108=0$$

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.

$$x=\frac{-\left(-97\right)±\sqrt{\left(-97\right)^{2}-4\times 108}}{2}$$

-97 kvadratini chiqarish.

$$x=\frac{-\left(-97\right)±\sqrt{9409-4\times 108}}{2}$$

-4 ni 108 marotabaga ko'paytirish.

$$x=\frac{-\left(-97\right)±\sqrt{9409-432}}{2}$$

9409 ni -432 ga qo'shish.

$$x=\frac{-\left(-97\right)±\sqrt{8977}}{2}$$

-97 ning teskarisi 97 ga teng.

$$x=\frac{97±\sqrt{8977}}{2}$$

x=\frac{97±\sqrt{8977}}{2} tenglamasini yeching, bunda ± musbat. 97 ni \sqrt{8977} ga qo'shish.

$$x=\frac{\sqrt{8977}+97}{2}$$

x=\frac{97±\sqrt{8977}}{2} tenglamasini yeching, bunda ± manfiy. 97 dan \sqrt{8977} ni ayirish.

$$x=\frac{97-\sqrt{8977}}{2}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{97+\sqrt{8977}}{2} ga va x_{2} uchun \frac{97-\sqrt{8977}}{2} ga bo‘ling.

$$x^{2}-97x+108=\left(x-\frac{\sqrt{8977}+97}{2}\right)\left(x-\frac{97-\sqrt{8977}}{2}\right)$$

Baholash

$$x^{2}-97x+108$$