f(t)=126t-6t^2 eching

$$f ( t ) = 126 t - 6 t ^ { 2 }$$

Omil

$$6t\left(21-t\right)$$

Yechim qadamlari

6 omili.

$$6\left(21t-t^{2}\right)$$

Hisoblang: 21t-t^{2}. t omili.

$$t\left(21-t\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$6t\left(-t+21\right)$$

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.

$$-6t^{2}+126t=0$$

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.

$$t=\frac{-126±\sqrt{126^{2}}}{2\left(-6\right)}$$

126^{2} ning kvadrat ildizini chiqarish.

$$t=\frac{-126±126}{2\left(-6\right)}$$

2 ni -6 marotabaga ko'paytirish.

$$t=\frac{-126±126}{-12}$$

t=\frac{-126±126}{-12} tenglamasini yeching, bunda ± musbat. -126 ni 126 ga qo'shish.

$$t=\frac{0}{-12}$$

0 ni -12 ga bo'lish.

$$t=0$$

t=\frac{-126±126}{-12} tenglamasini yeching, bunda ± manfiy. -126 dan 126 ni ayirish.

$$t=-\frac{252}{-12}$$

-252 ni -12 ga bo'lish.

$$t=21$$

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 21 ga bo‘ling.

$$-6t^{2}+126t=-6t\left(t-21\right)$$

Baholash

$$6t\left(21-t\right)$$