(x^2)+(x^2+2)=410/6983(1-21) eching

$$( x ^ { 2 } ) + ( x ^ { 2 } + 2 ) = \frac { 410 } { 6983 ( 1 - 21 ) }$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{195335459}i}{13966}\approx -0-1,000733656i$$

$$x=\frac{\sqrt{195335459}i}{13966}\approx 1,000733656i$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$2x^{2}+2=\frac{410}{6983\left(1-21\right)}$$

-20 olish uchun 1 dan 21 ni ayirish.

$$2x^{2}+2=\frac{410}{6983\left(-20\right)}$$

-139660 hosil qilish uchun 6983 va -20 ni ko'paytirish.

$$2x^{2}+2=\frac{410}{-139660}$$

\frac{410}{-139660} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2x^{2}+2=-\frac{41}{13966}$$

Ikkala tarafdan 2 ni ayirish.

$$2x^{2}=-\frac{41}{13966}-2$$

-\frac{27973}{13966} olish uchun -\frac{41}{13966} dan 2 ni ayirish.

$$2x^{2}=-\frac{27973}{13966}$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{-\frac{27973}{13966}}{2}$$

\frac{-\frac{27973}{13966}}{2} ni yagona kasrga aylantiring.

$$x^{2}=\frac{-27973}{13966\times 2}$$

27932 hosil qilish uchun 13966 va 2 ni ko'paytirish.

$$x^{2}=\frac{-27973}{27932}$$

\frac{-27973}{27932} kasri manfiy belgini olib tashlash bilan -\frac{27973}{27932} sifatida qayta yozilishi mumkin.

$$x^{2}=-\frac{27973}{27932}$$

Tenglama yechildi.

$$x=\frac{\sqrt{195335459}i}{13966} x=-\frac{\sqrt{195335459}i}{13966}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$2x^{2}+2=\frac{410}{6983\left(1-21\right)}$$

-20 olish uchun 1 dan 21 ni ayirish.

$$2x^{2}+2=\frac{410}{6983\left(-20\right)}$$

-139660 hosil qilish uchun 6983 va -20 ni ko'paytirish.

$$2x^{2}+2=\frac{410}{-139660}$$

\frac{410}{-139660} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2x^{2}+2=-\frac{41}{13966}$$

\frac{41}{13966} ni ikki tarafga qo’shing.

$$2x^{2}+2+\frac{41}{13966}=0$$

\frac{27973}{13966} olish uchun 2 va \frac{41}{13966}'ni qo'shing.

$$2x^{2}+\frac{27973}{13966}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2 ni a, 0 ni b va \frac{27973}{13966} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\times \frac{27973}{13966}}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\times \frac{27973}{13966}}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\times \frac{27973}{13966}}}{2\times 2}$$

-8 ni \frac{27973}{13966} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-\frac{111892}{6983}}}{2\times 2}$$

-\frac{111892}{6983} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{2\sqrt{195335459}i}{6983}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\frac{2\sqrt{195335459}i}{6983}}{4}$$

x=\frac{0±\frac{2\sqrt{195335459}i}{6983}}{4} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{195335459}i}{13966}$$

x=\frac{0±\frac{2\sqrt{195335459}i}{6983}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{195335459}i}{13966}$$

Tenglama yechildi.

$$x=\frac{\sqrt{195335459}i}{13966} x=-\frac{\sqrt{195335459}i}{13966}$$