5.22/4.78=1000000/frac{1000000x{1000000+x}} eching

$$\frac { 5.22 } { 4.78 } = \frac { 1000000 } { \frac { 1000000 x } { 1000000 + x } }$$

x uchun yechish

$$x = \frac{119500000}{11} = 10863636\frac{4}{11} \approx 10863636,363636364$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5,22}{4,78} kasrini uning surat va maxrajini 100 ga ko‘paytirish bilan kengaytiring.

$$\frac{522}{478}=\frac{1000000}{\frac{1000000x}{1000000+x}}$$

\frac{522}{478} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{261}{239}=\frac{1000000}{\frac{1000000x}{1000000+x}}$$

x qiymati -1000000 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. 1000000 ni \frac{1000000x}{1000000+x} ga bo'lish 1000000 ga k'paytirish \frac{1000000x}{1000000+x} ga qaytarish.

$$\frac{261}{239}=\frac{1000000\left(1000000+x\right)}{1000000x}$$

Surat va maxrajdagi ikkala 1000000 ni qisqartiring.

$$\frac{261}{239}=\frac{x+1000000}{x}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x+1000000}{x}=\frac{261}{239}$$

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 239x ga, x,239 ning eng kichik karralisiga ko‘paytiring.

$$239\left(x+1000000\right)=261x$$

239 ga x+1000000 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$239x+239000000=261x$$

Ikkala tarafdan 261x ni ayirish.

$$239x+239000000-261x=0$$

-22x ni olish uchun 239x va -261x ni birlashtirish.

$$-22x+239000000=0$$

Ikkala tarafdan 239000000 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-22x=-239000000$$

Ikki tarafini -22 ga bo‘ling.

$$x=\frac{-239000000}{-22}$$

\frac{-239000000}{-22} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{119500000}{11}$$