x^2+37x+2 eching

$${ x }^{ 2 } +37x+2$$

Omil

$$\left(x-\frac{-\sqrt{1361}-37}{2}\right)\left(x-\frac{\sqrt{1361}-37}{2}\right)$$

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.

$$x^{2}+37x+2=0$$

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.

$$x=\frac{-37±\sqrt{37^{2}-4\times 2}}{2}$$

37 kvadratini chiqarish.

$$x=\frac{-37±\sqrt{1369-4\times 2}}{2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{-37±\sqrt{1369-8}}{2}$$

1369 ni -8 ga qo'shish.

$$x=\frac{-37±\sqrt{1361}}{2}$$

x=\frac{-37±\sqrt{1361}}{2} tenglamasini yeching, bunda ± musbat. -37 ni \sqrt{1361} ga qo'shish.

$$x=\frac{\sqrt{1361}-37}{2}$$

x=\frac{-37±\sqrt{1361}}{2} tenglamasini yeching, bunda ± manfiy. -37 dan \sqrt{1361} ni ayirish.

$$x=\frac{-\sqrt{1361}-37}{2}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-37+\sqrt{1361}}{2} ga va x_{2} uchun \frac{-37-\sqrt{1361}}{2} ga bo‘ling.

$$x^{2}+37x+2=\left(x-\frac{\sqrt{1361}-37}{2}\right)\left(x-\frac{-\sqrt{1361}-37}{2}\right)$$

Baholash

$$x^{2}+37x+2$$