2x^/4^2+35/2-2x-2/-2^2+35/2 eching

$$\frac{ 2 { x }^{ } }{ { 4 }^{ 2 } +3 } \frac{ 5 }{ 2 } - \frac{ 2x-2 }{ - { 2 }^{ 2 } +3 } \frac{ 5 }{ 2 }$$

Baholash

$$\frac{100x}{19}-5$$

Qisqa yechim qadamlari

1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni oling.

$$\frac{2x}{4^{2}+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{2x}{16+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

19 olish uchun 16 va 3'ni qo'shing.

$$\frac{2x}{19}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x}{19} ni \frac{5}{2} ga ko‘paytiring.

$$\frac{2x\times 5}{19\times 2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{5x}{19}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{5x}{19}-\frac{2x-2}{-4+3}\times \frac{5}{2}$$

-1 olish uchun -4 va 3'ni qo'shing.

$$\frac{5x}{19}-\frac{2x-2}{-1}\times \frac{5}{2}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi. 2x-2 teskarisini topish uchun har birining teskarisini toping.

$$\frac{5x}{19}-\left(-2x+2\right)\times \frac{5}{2}$$

-2x+2 ga \frac{5}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5x}{19}-\left(-5x+5\right)$$

-5x+5 teskarisini topish uchun har birining teskarisini toping.

$$\frac{5x}{19}+5x-5$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5x-5 ni \frac{19}{19} marotabaga ko'paytirish.

$$\frac{5x}{19}+\frac{19\left(5x-5\right)}{19}$$

\frac{5x}{19} va \frac{19\left(5x-5\right)}{19} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5x+19\left(5x-5\right)}{19}$$

5x+19\left(5x-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{5x+95x-95}{19}$$

5x+95x-95 kabi iboralarga o‘xshab birlashtiring.

$$\frac{100x-95}{19}$$

Kengaytirish

$$\frac{100x}{19}-5$$

Qisqa yechim qadamlari

1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni oling.

$$\frac{2x}{4^{2}+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{2x}{16+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

19 olish uchun 16 va 3'ni qo'shing.

$$\frac{2x}{19}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x}{19} ni \frac{5}{2} ga ko‘paytiring.

$$\frac{2x\times 5}{19\times 2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{5x}{19}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{5x}{19}-\frac{2x-2}{-4+3}\times \frac{5}{2}$$

-1 olish uchun -4 va 3'ni qo'shing.

$$\frac{5x}{19}-\frac{2x-2}{-1}\times \frac{5}{2}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi. 2x-2 teskarisini topish uchun har birining teskarisini toping.

$$\frac{5x}{19}-\left(-2x+2\right)\times \frac{5}{2}$$

-2x+2 ga \frac{5}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5x}{19}-\left(-5x+5\right)$$

-5x+5 teskarisini topish uchun har birining teskarisini toping.

$$\frac{5x}{19}+5x-5$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5x-5 ni \frac{19}{19} marotabaga ko'paytirish.

$$\frac{5x}{19}+\frac{19\left(5x-5\right)}{19}$$

\frac{5x}{19} va \frac{19\left(5x-5\right)}{19} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5x+19\left(5x-5\right)}{19}$$

5x+19\left(5x-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{5x+95x-95}{19}$$

5x+95x-95 kabi iboralarga o‘xshab birlashtiring.

$$\frac{100x-95}{19}$$