x uchun yechish (complex solution)
x=-\sqrt{2}i\approx -0-1,414213562i
x=\sqrt{2}i\approx 1,414213562i
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}=-12+10
10 ni ikki tarafga qo’shing.
x^{2}=-2
-2 olish uchun -12 va 10'ni qo'shing.
x=\sqrt{2}i x=-\sqrt{2}i
Tenglama yechildi.
x^{2}-10+12=0
12 ni ikki tarafga qo’shing.
x^{2}+2=0
2 olish uchun -10 va 12'ni qo'shing.
x=\frac{0±\sqrt{0^{2}-4\times 2}}{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 2 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\times 2}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{-8}}{2}
-4 ni 2 marotabaga ko'paytirish.
x=\frac{0±2\sqrt{2}i}{2}
-8 ning kvadrat ildizini chiqarish.
x=\sqrt{2}i
x=\frac{0±2\sqrt{2}i}{2} tenglamasini yeching, bunda ± musbat.
x=-\sqrt{2}i
x=\frac{0±2\sqrt{2}i}{2} tenglamasini yeching, bunda ± manfiy.
x=\sqrt{2}i x=-\sqrt{2}i
Tenglama yechildi.
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