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x uchun yechish (complex solution)
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Baham ko'rish

x=\sqrt{3}i x=-\sqrt{3}i
Tenglama yechildi.
x^{2}+3=0
3 ni ikki tarafga qo’shing.
x=\frac{0±\sqrt{0^{2}-4\times 3}}{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 3 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\times 3}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{-12}}{2}
-4 ni 3 marotabaga ko'paytirish.
x=\frac{0±2\sqrt{3}i}{2}
-12 ning kvadrat ildizini chiqarish.
x=\sqrt{3}i
x=\frac{0±2\sqrt{3}i}{2} tenglamasini yeching, bunda ± musbat.
x=-\sqrt{3}i
x=\frac{0±2\sqrt{3}i}{2} tenglamasini yeching, bunda ± manfiy.
x=\sqrt{3}i x=-\sqrt{3}i
Tenglama yechildi.