01=2y(1-01/1+01-x/sqrt{996*10^6})-1 eching

$$01=2y( \frac{ 1-01 }{ 1+01 } - \frac{ x }{ \sqrt{ 996 \times { 10 }^{ 6 } } } )-1$$

x uchun yechish

$$x=\frac{1000\sqrt{249}\left(2y-1\right)}{y}$$

$$y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0=2y\left(\frac{1-0\times 1}{1+0\times 1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0=2y\left(\frac{1-0}{1+0\times 1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

1 olish uchun 1 dan 0 ni ayirish.

$$0=2y\left(\frac{1}{1+0\times 1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0=2y\left(\frac{1}{1+0}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

1 olish uchun 1 va 0'ni qo'shing.

$$0=2y\left(\frac{1}{1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$0=2y\left(1-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

6 daraja ko‘rsatkichini 10 ga hisoblang va 1000000 ni qiymatni oling.

$$0=2y\left(1-\frac{x}{\sqrt{996\times 1000000}}\right)-1$$

996000000 hosil qilish uchun 996 va 1000000 ni ko'paytirish.

$$0=2y\left(1-\frac{x}{\sqrt{996000000}}\right)-1$$

Faktor: 996000000=2000^{2}\times 249. \sqrt{2000^{2}\times 249} koʻpaytmasining kvadrat ildizini \sqrt{2000^{2}}\sqrt{249} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2000^{2} ning kvadrat ildizini chiqarish.

$$0=2y\left(1-\frac{x}{2000\sqrt{249}}\right)-1$$

\frac{x}{2000\sqrt{249}} maxrajini \sqrt{249} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$0=2y\left(1-\frac{x\sqrt{249}}{2000\left(\sqrt{249}\right)^{2}}\right)-1$$

\sqrt{249} kvadrati – 249.

$$0=2y\left(1-\frac{x\sqrt{249}}{2000\times 249}\right)-1$$

498000 hosil qilish uchun 2000 va 249 ni ko'paytirish.

$$0=2y\left(1-\frac{x\sqrt{249}}{498000}\right)-1$$

2y ga 1-\frac{x\sqrt{249}}{498000} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$0=2y+2y\left(-\frac{x\sqrt{249}}{498000}\right)-1$$

2 va 498000 ichida eng katta umumiy 498000 faktorini bekor qiling.

$$0=2y+\frac{x\sqrt{249}}{-249000}y-1$$

\frac{x\sqrt{249}}{-249000}y ni yagona kasrga aylantiring.

$$0=2y+\frac{x\sqrt{249}y}{-249000}-1$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2y+\frac{x\sqrt{249}y}{-249000}-1=0$$

Ikkala tarafdan 2y ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$\frac{x\sqrt{249}y}{-249000}-1=-2y$$

1 ni ikki tarafga qo’shing.

$$\frac{x\sqrt{249}y}{-249000}=-2y+1$$

Tenglamaning ikkala tarafini -249000 ga ko'paytirish.

$$x\sqrt{249}y=498000y-249000$$

Tenglama standart shaklda.

$$\sqrt{249}yx=498000y-249000$$

Ikki tarafini \sqrt{249}y ga bo‘ling.

$$\frac{\sqrt{249}yx}{\sqrt{249}y}=\frac{498000y-249000}{\sqrt{249}y}$$

\sqrt{249}y ga bo'lish \sqrt{249}y ga ko'paytirishni bekor qiladi.

$$x=\frac{498000y-249000}{\sqrt{249}y}$$

498000y-249000 ni \sqrt{249}y ga bo'lish.

$$x=\frac{1000\sqrt{249}\left(2y-1\right)}{y}$$

y uchun yechish

$$y=\frac{249000}{-\sqrt{249}x+498000}$$

$$x\neq 2000\sqrt{249}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0=2y\left(\frac{1-0\times 1}{1+0\times 1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0=2y\left(\frac{1-0}{1+0\times 1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

1 olish uchun 1 dan 0 ni ayirish.

$$0=2y\left(\frac{1}{1+0\times 1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0=2y\left(\frac{1}{1+0}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

1 olish uchun 1 va 0'ni qo'shing.

$$0=2y\left(\frac{1}{1}-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$0=2y\left(1-\frac{x}{\sqrt{996\times 10^{6}}}\right)-1$$

6 daraja ko‘rsatkichini 10 ga hisoblang va 1000000 ni qiymatni oling.

$$0=2y\left(1-\frac{x}{\sqrt{996\times 1000000}}\right)-1$$

996000000 hosil qilish uchun 996 va 1000000 ni ko'paytirish.

$$0=2y\left(1-\frac{x}{\sqrt{996000000}}\right)-1$$

Faktor: 996000000=2000^{2}\times 249. \sqrt{2000^{2}\times 249} koʻpaytmasining kvadrat ildizini \sqrt{2000^{2}}\sqrt{249} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2000^{2} ning kvadrat ildizini chiqarish.

$$0=2y\left(1-\frac{x}{2000\sqrt{249}}\right)-1$$

\frac{x}{2000\sqrt{249}} maxrajini \sqrt{249} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$0=2y\left(1-\frac{x\sqrt{249}}{2000\left(\sqrt{249}\right)^{2}}\right)-1$$

\sqrt{249} kvadrati – 249.

$$0=2y\left(1-\frac{x\sqrt{249}}{2000\times 249}\right)-1$$

498000 hosil qilish uchun 2000 va 249 ni ko'paytirish.

$$0=2y\left(1-\frac{x\sqrt{249}}{498000}\right)-1$$

2y ga 1-\frac{x\sqrt{249}}{498000} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$0=2y+2y\left(-\frac{x\sqrt{249}}{498000}\right)-1$$

2 va 498000 ichida eng katta umumiy 498000 faktorini bekor qiling.

$$0=2y+\frac{x\sqrt{249}}{-249000}y-1$$

\frac{x\sqrt{249}}{-249000}y ni yagona kasrga aylantiring.

$$0=2y+\frac{x\sqrt{249}y}{-249000}-1$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2y+\frac{x\sqrt{249}y}{-249000}-1=0$$

1 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$2y+\frac{x\sqrt{249}y}{-249000}=1$$

Tenglamaning ikkala tarafini -249000 ga ko'paytirish.

$$-498000y+x\sqrt{249}y=-249000$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-498000+x\sqrt{249}\right)y=-249000$$

Tenglama standart shaklda.

$$\left(\sqrt{249}x-498000\right)y=-249000$$

Ikki tarafini -498000+x\sqrt{249} ga bo‘ling.

$$\frac{\left(\sqrt{249}x-498000\right)y}{\sqrt{249}x-498000}=-\frac{249000}{\sqrt{249}x-498000}$$

-498000+x\sqrt{249} ga bo'lish -498000+x\sqrt{249} ga ko'paytirishni bekor qiladi.

$$y=-\frac{249000}{\sqrt{249}x-498000}$$