16t^2+32t-27v=0 eching

$$16 t ^ { 2 } + 32 t - 27 v = 0$$

v uchun yechish

$$v=\frac{16t\left(t+2\right)}{27}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 16t^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$32t-27v=-16t^{2}$$

Ikkala tarafdan 32t ni ayirish.

$$-27v=-16t^{2}-32t$$

Ikki tarafini -27 ga bo‘ling.

$$\frac{-27v}{-27}=-\frac{16t\left(t+2\right)}{-27}$$

-27 ga bo'lish -27 ga ko'paytirishni bekor qiladi.

$$v=-\frac{16t\left(t+2\right)}{-27}$$

-16t\left(2+t\right) ni -27 ga bo'lish.

$$v=\frac{16t\left(t+2\right)}{27}$$

t uchun yechish

$$t=\frac{\sqrt{27v+16}}{4}-1$$

$$t=-\frac{\sqrt{27v+16}}{4}-1\text{, }v\geq -\frac{16}{27}$$