1000*left(1+006right)^-1+4000*left(1+006right)^-3-10000*left(1+006right)^-7+xleft(1+006right)^-8=0 eching

$$1000 \times { \left(1+006 \right) }^{ -1 } +4000 \times { \left(1+006 \right) }^{ -3 } -10000 \times { \left(1+006 \right) }^{ -7 } +x { \left(1+006 \right) }^{ -8 } =0$$

x uchun yechish

$$x=5000$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$1000\left(1+0\times 6\right)^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$1000\left(1+0\right)^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$1000\times 1^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$1000\times 1+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

1000 hosil qilish uchun 1000 va 1 ni ko'paytirish.

$$1000+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$1000+4000\left(1+0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$1000+4000\left(1+0\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$1000+4000\times 1^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

-3 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$1000+4000\times 1-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

4000 hosil qilish uchun 4000 va 1 ni ko'paytirish.

$$1000+4000-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

5000 olish uchun 1000 va 4000'ni qo'shing.

$$5000-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$5000-10000\left(1+0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$5000-10000\left(1+0\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$5000-10000\times 1^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

-7 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$5000-10000\times 1+x\left(1+0\times 0\times 6\right)^{-8}=0$$

10000 hosil qilish uchun 10000 va 1 ni ko'paytirish.

$$5000-10000+x\left(1+0\times 0\times 6\right)^{-8}=0$$

-5000 olish uchun 5000 dan 10000 ni ayirish.

$$-5000+x\left(1+0\times 0\times 6\right)^{-8}=0$$

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

$$-5000+x\left(1+0\times 6\right)^{-8}=0$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$-5000+x\left(1+0\right)^{-8}=0$$

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

$$-5000+x\times 1^{-8}=0$$

-8 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$-5000+x\times 1=0$$

5000 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$x\times 1=5000$$

Shartlarni qayta saralash.

$$x=5000$$