x-3+x^2 eching

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

Omil

$$\left(x-\frac{-\sqrt{13}-1}{2}\right)\left(x-\frac{\sqrt{13}-1}{2}\right)$$

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.

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

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.

$$x=\frac{-1±\sqrt{1^{2}-4\left(-3\right)}}{2}$$

1 kvadratini chiqarish.

$$x=\frac{-1±\sqrt{1-4\left(-3\right)}}{2}$$

-4 ni -3 marotabaga ko'paytirish.

$$x=\frac{-1±\sqrt{1+12}}{2}$$

1 ni 12 ga qo'shish.

$$x=\frac{-1±\sqrt{13}}{2}$$

x=\frac{-1±\sqrt{13}}{2} tenglamasini yeching, bunda ± musbat. -1 ni \sqrt{13} ga qo'shish.

$$x=\frac{\sqrt{13}-1}{2}$$

x=\frac{-1±\sqrt{13}}{2} tenglamasini yeching, bunda ± manfiy. -1 dan \sqrt{13} ni ayirish.

$$x=\frac{-\sqrt{13}-1}{2}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-1+\sqrt{13}}{2} ga va x_{2} uchun \frac{-1-\sqrt{13}}{2} ga bo‘ling.

$$x^{2}+x-3=\left(x-\frac{\sqrt{13}-1}{2}\right)\left(x-\frac{-\sqrt{13}-1}{2}\right)$$

Baholash

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