2(5/4)^2+5(-5/4)-1 eching

$$2 ( \frac { 5 } { 4 } ) ^ { 2 } + 5 ( - \frac { 5 } { 4 } ) - 1$$

Baholash

$$-\frac{33}{8}=-4,125$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{5}{4} ga hisoblang va \frac{25}{16} ni qiymatni oling.

$$2\times \frac{25}{16}+5\left(-\frac{5}{4}\right)-1$$

2\times \frac{25}{16} ni yagona kasrga aylantiring.

$$\frac{2\times 25}{16}+5\left(-\frac{5}{4}\right)-1$$

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$\frac{50}{16}+5\left(-\frac{5}{4}\right)-1$$

\frac{50}{16} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{25}{8}+5\left(-\frac{5}{4}\right)-1$$

5\left(-\frac{5}{4}\right) ni yagona kasrga aylantiring.

$$\frac{25}{8}+\frac{5\left(-5\right)}{4}-1$$

-25 hosil qilish uchun 5 va -5 ni ko'paytirish.

$$\frac{25}{8}+\frac{-25}{4}-1$$

\frac{-25}{4} kasri manfiy belgini olib tashlash bilan -\frac{25}{4} sifatida qayta yozilishi mumkin.

$$\frac{25}{8}-\frac{25}{4}-1$$

8 va 4 ning eng kichik umumiy karralisi 8 ga teng. \frac{25}{8} va \frac{25}{4} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{25}{8}-\frac{50}{8}-1$$

\frac{25}{8} va \frac{50}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{25-50}{8}-1$$

-25 olish uchun 25 dan 50 ni ayirish.

$$-\frac{25}{8}-1$$

1 ni \frac{8}{8} kasrga o‘giring.

$$-\frac{25}{8}-\frac{8}{8}$$

-\frac{25}{8} va \frac{8}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-25-8}{8}$$

-33 olish uchun -25 dan 8 ni ayirish.

$$-\frac{33}{8}$$

Omil

$$-\frac{33}{8} = -4\frac{1}{8} = -4,125$$