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x uchun yechish (complex solution)
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x^{2}=11-20
Ikkala tarafdan 20 ni ayirish.
x^{2}=-9
-9 olish uchun 11 dan 20 ni ayirish.
x=3i x=-3i
Tenglama yechildi.
x^{2}+20-11=0
Ikkala tarafdan 11 ni ayirish.
x^{2}+9=0
9 olish uchun 20 dan 11 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\times 9}}{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 9 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\times 9}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{-36}}{2}
-4 ni 9 marotabaga ko'paytirish.
x=\frac{0±6i}{2}
-36 ning kvadrat ildizini chiqarish.
x=3i
x=\frac{0±6i}{2} tenglamasini yeching, bunda ± musbat.
x=-3i
x=\frac{0±6i}{2} tenglamasini yeching, bunda ± manfiy.
x=3i x=-3i
Tenglama yechildi.