h(t)=-98t^2+196t eching

$$h ( t ) = - 98 t ^ { 2 } + 196 t$$

Omil

$$98t\left(2-t\right)$$

Yechim qadamlari

98 omili.

$$98\left(-t^{2}+2t\right)$$

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

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

Toʻliq ajratilgan ifodani qaytadan yozing.

$$98t\left(-t+2\right)$$

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.

$$-98t^{2}+196t=0$$

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.

$$t=\frac{-196±\sqrt{196^{2}}}{2\left(-98\right)}$$

196^{2} ning kvadrat ildizini chiqarish.

$$t=\frac{-196±196}{2\left(-98\right)}$$

2 ni -98 marotabaga ko'paytirish.

$$t=\frac{-196±196}{-196}$$

t=\frac{-196±196}{-196} tenglamasini yeching, bunda ± musbat. -196 ni 196 ga qo'shish.

$$t=\frac{0}{-196}$$

0 ni -196 ga bo'lish.

$$t=0$$

t=\frac{-196±196}{-196} tenglamasini yeching, bunda ± manfiy. -196 dan 196 ni ayirish.

$$t=-\frac{392}{-196}$$

-392 ni -196 ga bo'lish.

$$t=2$$

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.

$$-98t^{2}+196t=-98t\left(t-2\right)$$

Baholash

$$98t\left(2-t\right)$$