x^2+24^2=3^2 eching

$$x ^ { 2 } + 24 ^ { 2 } = 3 ^ { 2 }$$

x uchun yechish (complex solution)

$$x=-9\sqrt{7}i\approx -0-23,8117618i$$

$$x=9\sqrt{7}i\approx 23,8117618i$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini 24 ga hisoblang va 576 ni qiymatni oling.

$$x^{2}+576=3^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$x^{2}+576=9$$

Ikkala tarafdan 576 ni ayirish.

$$x^{2}=9-576$$

-567 olish uchun 9 dan 576 ni ayirish.

$$x^{2}=-567$$

Tenglama yechildi.

$$x=9\sqrt{7}i x=-9\sqrt{7}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini 24 ga hisoblang va 576 ni qiymatni oling.

$$x^{2}+576=3^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$x^{2}+576=9$$

Ikkala tarafdan 9 ni ayirish.

$$x^{2}+576-9=0$$

567 olish uchun 576 dan 9 ni ayirish.

$$x^{2}+567=0$$

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 567 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 567}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 567}}{2}$$

-4 ni 567 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-2268}}{2}$$

-2268 ning kvadrat ildizini chiqarish.

$$x=\frac{0±18\sqrt{7}i}{2}$$

x=\frac{0±18\sqrt{7}i}{2} tenglamasini yeching, bunda ± musbat.

$$x=9\sqrt{7}i$$

x=\frac{0±18\sqrt{7}i}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-9\sqrt{7}i$$

Tenglama yechildi.

$$x=9\sqrt{7}i x=-9\sqrt{7}i$$