a^2/36+frac{{left(sqrt{155+3}right)}^2}{9}=1 eching

$$\frac{ { a }^{ 2 } }{ 36 } + \frac{ { \left( \sqrt{ 155+3 } \right) }^{ 2 } }{ 9 } = 1$$

a uchun yechish

$$a=-2\sqrt{149}i\approx -0-24,413111231i$$

$$a=2\sqrt{149}i\approx 24,413111231i$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$a^{2}+4\left(\sqrt{155+3}\right)^{2}=36$$

158 olish uchun 155 va 3'ni qo'shing.

$$a^{2}+4\left(\sqrt{158}\right)^{2}=36$$

\sqrt{158} kvadrati – 158.

$$a^{2}+4\times 158=36$$

632 hosil qilish uchun 4 va 158 ni ko'paytirish.

$$a^{2}+632=36$$

Ikkala tarafdan 632 ni ayirish.

$$a^{2}=36-632$$

-596 olish uchun 36 dan 632 ni ayirish.

$$a^{2}=-596$$

Tenglama yechildi.

$$a=2\sqrt{149}i a=-2\sqrt{149}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$a^{2}+4\left(\sqrt{155+3}\right)^{2}=36$$

158 olish uchun 155 va 3'ni qo'shing.

$$a^{2}+4\left(\sqrt{158}\right)^{2}=36$$

\sqrt{158} kvadrati – 158.

$$a^{2}+4\times 158=36$$

632 hosil qilish uchun 4 va 158 ni ko'paytirish.

$$a^{2}+632=36$$

Ikkala tarafdan 36 ni ayirish.

$$a^{2}+632-36=0$$

596 olish uchun 632 dan 36 ni ayirish.

$$a^{2}+596=0$$

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 596 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\times 596}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\times 596}}{2}$$

-4 ni 596 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{-2384}}{2}$$

-2384 ning kvadrat ildizini chiqarish.

$$a=\frac{0±4\sqrt{149}i}{2}$$

a=\frac{0±4\sqrt{149}i}{2} tenglamasini yeching, bunda ± musbat.

$$a=2\sqrt{149}i$$

a=\frac{0±4\sqrt{149}i}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-2\sqrt{149}i$$

Tenglama yechildi.

$$a=2\sqrt{149}i a=-2\sqrt{149}i$$