h(t)=-t^2+20*t eching

$$h ( t ) = - t ^ { 2 } + 20 \cdot t$$

Omil

$$t\left(20-t\right)$$

Yechim qadamlari

t omili.

$$t\left(-t+20\right)$$

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.

$$-t^{2}+20t=0$$

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.

$$t=\frac{-20±\sqrt{20^{2}}}{2\left(-1\right)}$$

20^{2} ning kvadrat ildizini chiqarish.

$$t=\frac{-20±20}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$t=\frac{-20±20}{-2}$$

t=\frac{-20±20}{-2} tenglamasini yeching, bunda ± musbat. -20 ni 20 ga qo'shish.

$$t=\frac{0}{-2}$$

0 ni -2 ga bo'lish.

$$t=0$$

t=\frac{-20±20}{-2} tenglamasini yeching, bunda ± manfiy. -20 dan 20 ni ayirish.

$$t=-\frac{40}{-2}$$

-40 ni -2 ga bo'lish.

$$t=20$$

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 20 ga bo‘ling.

$$-t^{2}+20t=-t\left(t-20\right)$$

Baholash

$$t\left(20-t\right)$$