f(-1/2p)=4(-1/2p)-p(-1/2p)+1/2p-12 eching

$$f ( - \frac { 1 } { 2 } p ) = 4 ( - \frac { 1 } { 2 } p ) - p ( - \frac { 1 } { 2 } p ) + \frac { 1 } { 2 } p - 12$$

Baholash

$$\frac{p^{2}-3p-24}{2}$$

Yechim qadamlari

p^{2} hosil qilish uchun p va p ni ko'paytirish.

$$4\left(-\frac{1}{2}\right)p-p^{2}\left(-\frac{1}{2}\right)+\frac{1}{2}p-12$$

4\left(-\frac{1}{2}\right) ni yagona kasrga aylantiring.

$$\frac{4\left(-1\right)}{2}p-p^{2}\left(-\frac{1}{2}\right)+\frac{1}{2}p-12$$

-4 hosil qilish uchun 4 va -1 ni ko'paytirish.

$$\frac{-4}{2}p-p^{2}\left(-\frac{1}{2}\right)+\frac{1}{2}p-12$$

-2 ni olish uchun -4 ni 2 ga bo‘ling.

$$-2p-p^{2}\left(-\frac{1}{2}\right)+\frac{1}{2}p-12$$

\frac{1}{2} hosil qilish uchun -1 va -\frac{1}{2} ni ko'paytirish.

$$-2p+\frac{1}{2}p^{2}+\frac{1}{2}p-12$$

-\frac{3}{2}p ni olish uchun -2p va \frac{1}{2}p ni birlashtirish.

$$-\frac{3}{2}p+\frac{1}{2}p^{2}-12$$

Omil

$$\frac{\left(p-\frac{3-\sqrt{105}}{2}\right)\left(p-\frac{\sqrt{105}+3}{2}\right)}{2}$$