a^2=15^2-18^2 eching

$$a ^ { 2 } = 15 ^ { 2 } - 18 ^ { 2 }$$

a uchun yechish

$$a=-3\sqrt{11}i\approx -0-9,949874371i$$

$$a=3\sqrt{11}i\approx 9,949874371i$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.

$$a^{2}=225-18^{2}$$

2 daraja ko‘rsatkichini 18 ga hisoblang va 324 ni qiymatni oling.

$$a^{2}=225-324$$

-99 olish uchun 225 dan 324 ni ayirish.

$$a^{2}=-99$$

Tenglama yechildi.

$$a=3\sqrt{11}i a=-3\sqrt{11}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.

$$a^{2}=225-18^{2}$$

2 daraja ko‘rsatkichini 18 ga hisoblang va 324 ni qiymatni oling.

$$a^{2}=225-324$$

-99 olish uchun 225 dan 324 ni ayirish.

$$a^{2}=-99$$

99 ni ikki tarafga qo’shing.

$$a^{2}+99=0$$

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 99 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\times 99}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\times 99}}{2}$$

-4 ni 99 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{-396}}{2}$$

-396 ning kvadrat ildizini chiqarish.

$$a=\frac{0±6\sqrt{11}i}{2}$$

a=\frac{0±6\sqrt{11}i}{2} tenglamasini yeching, bunda ± musbat.

$$a=3\sqrt{11}i$$

a=\frac{0±6\sqrt{11}i}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-3\sqrt{11}i$$

Tenglama yechildi.

$$a=3\sqrt{11}i a=-3\sqrt{11}i$$