3x+x/2=4-2/x+7x/2 eching

$$3 x + \frac { x } { 2 } = 4 - \frac { 2 } { x } + \frac { 7 x } { 2 }$$

x uchun yechish

$$x=\frac{1}{2}=0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2x ga, 2,x ning eng kichik karralisiga ko‘paytiring.

$$3x\times 2x+xx=2x\times 4-2\times 2+x\times 7x$$

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

$$3x\times 2x+x^{2}=2x\times 4-2\times 2+x\times 7x$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$6xx+x^{2}=2x\times 4-2\times 2+x\times 7x$$

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

$$6x^{2}+x^{2}=2x\times 4-2\times 2+x\times 7x$$

7x^{2} ni olish uchun 6x^{2} va x^{2} ni birlashtirish.

$$7x^{2}=2x\times 4-2\times 2+x\times 7x$$

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

$$7x^{2}=2x\times 4-2\times 2+x^{2}\times 7$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$7x^{2}=8x-2\times 2+x^{2}\times 7$$

-4 hosil qilish uchun -2 va 2 ni ko'paytirish.

$$7x^{2}=8x-4+x^{2}\times 7$$

Ikkala tarafdan 8x ni ayirish.

$$7x^{2}-8x=-4+x^{2}\times 7$$

Ikkala tarafdan x^{2}\times 7 ni ayirish.

$$7x^{2}-8x-x^{2}\times 7=-4$$

0 ni olish uchun 7x^{2} va -x^{2}\times 7 ni birlashtirish.

$$-8x=-4$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{-4}{-8}$$

\frac{-4}{-8} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{2}$$