4y-2y^2 eching

$$4y-2 { y }^{ 2 }$$

Omil

$$2y\left(2-y\right)$$

Yechim qadamlari

2 omili.

$$2\left(2y-y^{2}\right)$$

Hisoblang: 2y-y^{2}. y omili.

$$y\left(2-y\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$2y\left(-y+2\right)$$

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.

$$-2y^{2}+4y=0$$

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.

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

4^{2} ning kvadrat ildizini chiqarish.

$$y=\frac{-4±4}{2\left(-2\right)}$$

2 ni -2 marotabaga ko'paytirish.

$$y=\frac{-4±4}{-4}$$

y=\frac{-4±4}{-4} tenglamasini yeching, bunda ± musbat. -4 ni 4 ga qo'shish.

$$y=\frac{0}{-4}$$

0 ni -4 ga bo'lish.

$$y=0$$

y=\frac{-4±4}{-4} tenglamasini yeching, bunda ± manfiy. -4 dan 4 ni ayirish.

$$y=-\frac{8}{-4}$$

-8 ni -4 ga bo'lish.

$$y=2$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 0 ga va x_{2} uchun 2 ga bo‘ling.

$$-2y^{2}+4y=-2y\left(y-2\right)$$

Baholash

$$2y\left(2-y\right)$$