3-2x^2-90x eching

$$3 - 2 x ^ { 2 } - 90 x$$

Omil

$$-2\left(x-\frac{-\sqrt{2031}-45}{2}\right)\left(x-\frac{\sqrt{2031}-45}{2}\right)$$

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.

$$-2x^{2}-90x+3=0$$

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.

$$x=\frac{-\left(-90\right)±\sqrt{\left(-90\right)^{2}-4\left(-2\right)\times 3}}{2\left(-2\right)}$$

-90 kvadratini chiqarish.

$$x=\frac{-\left(-90\right)±\sqrt{8100-4\left(-2\right)\times 3}}{2\left(-2\right)}$$

-4 ni -2 marotabaga ko'paytirish.

$$x=\frac{-\left(-90\right)±\sqrt{8100+8\times 3}}{2\left(-2\right)}$$

8 ni 3 marotabaga ko'paytirish.

$$x=\frac{-\left(-90\right)±\sqrt{8100+24}}{2\left(-2\right)}$$

8100 ni 24 ga qo'shish.

$$x=\frac{-\left(-90\right)±\sqrt{8124}}{2\left(-2\right)}$$

8124 ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-90\right)±2\sqrt{2031}}{2\left(-2\right)}$$

-90 ning teskarisi 90 ga teng.

$$x=\frac{90±2\sqrt{2031}}{2\left(-2\right)}$$

2 ni -2 marotabaga ko'paytirish.

$$x=\frac{90±2\sqrt{2031}}{-4}$$

x=\frac{90±2\sqrt{2031}}{-4} tenglamasini yeching, bunda ± musbat. 90 ni 2\sqrt{2031} ga qo'shish.

$$x=\frac{2\sqrt{2031}+90}{-4}$$

90+2\sqrt{2031} ni -4 ga bo'lish.

$$x=\frac{-\sqrt{2031}-45}{2}$$

x=\frac{90±2\sqrt{2031}}{-4} tenglamasini yeching, bunda ± manfiy. 90 dan 2\sqrt{2031} ni ayirish.

$$x=\frac{90-2\sqrt{2031}}{-4}$$

90-2\sqrt{2031} ni -4 ga bo'lish.

$$x=\frac{\sqrt{2031}-45}{2}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{-45-\sqrt{2031}}{2} ga va x_{2} uchun \frac{-45+\sqrt{2031}}{2} ga bo‘ling.

$$-2x^{2}-90x+3=-2\left(x-\frac{-\sqrt{2031}-45}{2}\right)\left(x-\frac{\sqrt{2031}-45}{2}\right)$$

Baholash

$$3-90x-2x^{2}$$