48t-12t^2 eching

$$48 t - 12 t ^ { 2 }$$

Omil

$$12t\left(4-t\right)$$

Yechim qadamlari

12 omili.

$$12\left(4t-t^{2}\right)$$

Hisoblang: 4t-t^{2}. t omili.

$$t\left(4-t\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$12t\left(-t+4\right)$$

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.

$$-12t^{2}+48t=0$$

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.

$$t=\frac{-48±\sqrt{48^{2}}}{2\left(-12\right)}$$

48^{2} ning kvadrat ildizini chiqarish.

$$t=\frac{-48±48}{2\left(-12\right)}$$

2 ni -12 marotabaga ko'paytirish.

$$t=\frac{-48±48}{-24}$$

t=\frac{-48±48}{-24} tenglamasini yeching, bunda ± musbat. -48 ni 48 ga qo'shish.

$$t=\frac{0}{-24}$$

0 ni -24 ga bo'lish.

$$t=0$$

t=\frac{-48±48}{-24} tenglamasini yeching, bunda ± manfiy. -48 dan 48 ni ayirish.

$$t=-\frac{96}{-24}$$

-96 ni -24 ga bo'lish.

$$t=4$$

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 4 ga bo‘ling.

$$-12t^{2}+48t=-12t\left(t-4\right)$$

Baholash

$$12t\left(4-t\right)$$