1000(1+x)(098+x)=1000(1+x)+108 eching

$$1000(1+x)(098+x)=1000(1+x)+108$$

x uchun yechish

$$x = \frac{\sqrt{2770}}{50} \approx 1,052615789$$

$$x = -\frac{\sqrt{2770}}{50} \approx -1,052615789$$

Kvadrat ildizini topish bo'yicha qadamlar

0 hosil qilish uchun 0 va 98 ni ko'paytirish.

$$1000\left(1+x\right)\left(0+x\right)=1000\left(1+x\right)+108$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$1000\left(1+x\right)x=1000\left(1+x\right)+108$$

1000 ga 1+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(1000+1000x\right)x=1000\left(1+x\right)+108$$

1000+1000x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1000x+1000x^{2}=1000\left(1+x\right)+108$$

1000 ga 1+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1000x+1000x^{2}=1000+1000x+108$$

1108 olish uchun 1000 va 108'ni qo'shing.

$$1000x+1000x^{2}=1108+1000x$$

Ikkala tarafdan 1000x ni ayirish.

$$1000x+1000x^{2}-1000x=1108$$

0 ni olish uchun 1000x va -1000x ni birlashtirish.

$$1000x^{2}=1108$$

Ikki tarafini 1000 ga bo‘ling.

$$x^{2}=\frac{1108}{1000}$$

\frac{1108}{1000} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{277}{250}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{2770}}{50} x=-\frac{\sqrt{2770}}{50}$$

Kvadrat tenglamalaridan foydalanish qoidalari

0 hosil qilish uchun 0 va 98 ni ko'paytirish.

$$1000\left(1+x\right)\left(0+x\right)=1000\left(1+x\right)+108$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$1000\left(1+x\right)x=1000\left(1+x\right)+108$$

1000 ga 1+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(1000+1000x\right)x=1000\left(1+x\right)+108$$

1000+1000x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1000x+1000x^{2}=1000\left(1+x\right)+108$$

1000 ga 1+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1000x+1000x^{2}=1000+1000x+108$$

1108 olish uchun 1000 va 108'ni qo'shing.

$$1000x+1000x^{2}=1108+1000x$$

Ikkala tarafdan 1108 ni ayirish.

$$1000x+1000x^{2}-1108=1000x$$

Ikkala tarafdan 1000x ni ayirish.

$$1000x+1000x^{2}-1108-1000x=0$$

0 ni olish uchun 1000x va -1000x ni birlashtirish.

$$1000x^{2}-1108=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1000 ni a, 0 ni b va -1108 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 1000\left(-1108\right)}}{2\times 1000}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 1000\left(-1108\right)}}{2\times 1000}$$

-4 ni 1000 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-4000\left(-1108\right)}}{2\times 1000}$$

-4000 ni -1108 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4432000}}{2\times 1000}$$

4432000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±40\sqrt{2770}}{2\times 1000}$$

2 ni 1000 marotabaga ko'paytirish.

$$x=\frac{0±40\sqrt{2770}}{2000}$$

x=\frac{0±40\sqrt{2770}}{2000} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{2770}}{50}$$

x=\frac{0±40\sqrt{2770}}{2000} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{2770}}{50}$$

Tenglama yechildi.

$$x=\frac{\sqrt{2770}}{50} x=-\frac{\sqrt{2770}}{50}$$