a^2+2i^2=29^2 eching

$$a ^ { 2 } + 2 i ^ { 2 } = 29 ^ { 2 }$$

a uchun yechish

$$a=-\sqrt{843}\approx -29,034462282$$

$$a=\sqrt{843}\approx 29,034462282$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$a^{2}+2\left(-1\right)=29^{2}$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$a^{2}-2=29^{2}$$

2 daraja ko‘rsatkichini 29 ga hisoblang va 841 ni qiymatni oling.

$$a^{2}-2=841$$

2 ni ikki tarafga qo’shing.

$$a^{2}=841+2$$

843 olish uchun 841 va 2'ni qo'shing.

$$a^{2}=843$$

Tenglama yechildi.

$$a=\sqrt{843} a=-\sqrt{843}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$a^{2}+2\left(-1\right)=29^{2}$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$a^{2}-2=29^{2}$$

2 daraja ko‘rsatkichini 29 ga hisoblang va 841 ni qiymatni oling.

$$a^{2}-2=841$$

Ikkala tarafdan 841 ni ayirish.

$$a^{2}-2-841=0$$

-843 olish uchun -2 dan 841 ni ayirish.

$$a^{2}-843=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -843 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-843\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-843\right)}}{2}$$

-4 ni -843 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{3372}}{2}$$

3372 ning kvadrat ildizini chiqarish.

$$a=\frac{0±2\sqrt{843}}{2}$$

a=\frac{0±2\sqrt{843}}{2} tenglamasini yeching, bunda ± musbat.

$$a=\sqrt{843}$$

a=\frac{0±2\sqrt{843}}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-\sqrt{843}$$

Tenglama yechildi.

$$a=\sqrt{843} a=-\sqrt{843}$$