a^2/36+frac{(sqrt{15+3})^2}{9}=1 eching

$$\frac { a ^ { 2 } } { 36 } + \frac { ( \sqrt { 15 + 3 } ) ^ { 2 } } { 9 } = 1$$

a uchun yechish

$$a=-6i$$

$$a=6i$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 36 ga, 36,9 ning eng kichik karralisiga ko‘paytiring.

$$a^{2}+4\left(\sqrt{15+3}\right)^{2}=36$$

18 olish uchun 15 va 3'ni qo'shing.

$$a^{2}+4\left(\sqrt{18}\right)^{2}=36$$

\sqrt{18} kvadrati – 18.

$$a^{2}+4\times 18=36$$

72 hosil qilish uchun 4 va 18 ni ko'paytirish.

$$a^{2}+72=36$$

Ikkala tarafdan 72 ni ayirish.

$$a^{2}=36-72$$

-36 olish uchun 36 dan 72 ni ayirish.

$$a^{2}=-36$$

Tenglama yechildi.

$$a=6i a=-6i$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 36 ga, 36,9 ning eng kichik karralisiga ko‘paytiring.

$$a^{2}+4\left(\sqrt{15+3}\right)^{2}=36$$

18 olish uchun 15 va 3'ni qo'shing.

$$a^{2}+4\left(\sqrt{18}\right)^{2}=36$$

\sqrt{18} kvadrati – 18.

$$a^{2}+4\times 18=36$$

72 hosil qilish uchun 4 va 18 ni ko'paytirish.

$$a^{2}+72=36$$

Ikkala tarafdan 36 ni ayirish.

$$a^{2}+72-36=0$$

36 olish uchun 72 dan 36 ni ayirish.

$$a^{2}+36=0$$

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 36 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\times 36}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\times 36}}{2}$$

-4 ni 36 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{-144}}{2}$$

-144 ning kvadrat ildizini chiqarish.

$$a=\frac{0±12i}{2}$$

a=\frac{0±12i}{2} tenglamasini yeching, bunda ± musbat.

$$a=6i$$

a=\frac{0±12i}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-6i$$

Tenglama yechildi.

$$a=6i a=-6i$$