x uchun yechish (complex solution)
x=-2\sqrt{2}i\approx -0-2,828427125i
x=2\sqrt{2}i\approx 2,828427125i
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}+8=0
8 olish uchun -10 va 18'ni qo'shing.
x^{2}=-8
Ikkala tarafdan 8 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
x=2\sqrt{2}i x=-2\sqrt{2}i
Tenglama yechildi.
x^{2}+8=0
8 olish uchun -10 va 18'ni qo'shing.
x=\frac{0±\sqrt{0^{2}-4\times 8}}{2}
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 8 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\times 8}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{-32}}{2}
-4 ni 8 marotabaga ko'paytirish.
x=\frac{0±4\sqrt{2}i}{2}
-32 ning kvadrat ildizini chiqarish.
x=2\sqrt{2}i
x=\frac{0±4\sqrt{2}i}{2} tenglamasini yeching, bunda ± musbat.
x=-2\sqrt{2}i
x=\frac{0±4\sqrt{2}i}{2} tenglamasini yeching, bunda ± manfiy.
x=2\sqrt{2}i x=-2\sqrt{2}i
Tenglama yechildi.
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