146x^2+x-2 eching

$$146 x ^ { 2 } + x - 2$$

Omil

$$146\left(x-\frac{-\sqrt{1169}-1}{292}\right)\left(x-\frac{\sqrt{1169}-1}{292}\right)$$

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.

$$146x^{2}+x-2=0$$

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.

$$x=\frac{-1±\sqrt{1^{2}-4\times 146\left(-2\right)}}{2\times 146}$$

1 kvadratini chiqarish.

$$x=\frac{-1±\sqrt{1-4\times 146\left(-2\right)}}{2\times 146}$$

-4 ni 146 marotabaga ko'paytirish.

$$x=\frac{-1±\sqrt{1-584\left(-2\right)}}{2\times 146}$$

-584 ni -2 marotabaga ko'paytirish.

$$x=\frac{-1±\sqrt{1+1168}}{2\times 146}$$

1 ni 1168 ga qo'shish.

$$x=\frac{-1±\sqrt{1169}}{2\times 146}$$

2 ni 146 marotabaga ko'paytirish.

$$x=\frac{-1±\sqrt{1169}}{292}$$

x=\frac{-1±\sqrt{1169}}{292} tenglamasini yeching, bunda ± musbat. -1 ni \sqrt{1169} ga qo'shish.

$$x=\frac{\sqrt{1169}-1}{292}$$

x=\frac{-1±\sqrt{1169}}{292} tenglamasini yeching, bunda ± manfiy. -1 dan \sqrt{1169} ni ayirish.

$$x=\frac{-\sqrt{1169}-1}{292}$$

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{1169}}{292} ga va x_{2} uchun \frac{-1-\sqrt{1169}}{292} ga bo‘ling.

$$146x^{2}+x-2=146\left(x-\frac{\sqrt{1169}-1}{292}\right)\left(x-\frac{-\sqrt{1169}-1}{292}\right)$$

Baholash

$$146x^{2}+x-2$$