x uchun yechish
x=10\sqrt{5}\approx 22,360679775
x=-10\sqrt{5}\approx -22,360679775
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}=500
500 hosil qilish uchun 20 va 25 ni ko'paytirish.
x=10\sqrt{5} x=-10\sqrt{5}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
x^{2}=500
500 hosil qilish uchun 20 va 25 ni ko'paytirish.
x^{2}-500=0
Ikkala tarafdan 500 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\left(-500\right)}}{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 -500 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-500\right)}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{2000}}{2}
-4 ni -500 marotabaga ko'paytirish.
x=\frac{0±20\sqrt{5}}{2}
2000 ning kvadrat ildizini chiqarish.
x=10\sqrt{5}
x=\frac{0±20\sqrt{5}}{2} tenglamasini yeching, bunda ± musbat.
x=-10\sqrt{5}
x=\frac{0±20\sqrt{5}}{2} tenglamasini yeching, bunda ± manfiy.
x=10\sqrt{5} x=-10\sqrt{5}
Tenglama yechildi.
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