x uchun yechish
x=\frac{1}{2}=0,5
x=-\frac{1}{2}=-0,5
Grafik
Baham ko'rish
Klipbordga nusxa olish
-100x^{2}=-25
Ikkala tarafdan 25 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
x^{2}=\frac{-25}{-100}
Ikki tarafini -100 ga bo‘ling.
x^{2}=\frac{1}{4}
\frac{-25}{-100} ulushini -25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
x=\frac{1}{2} x=-\frac{1}{2}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
-100x^{2}+25=0
Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.
x=\frac{0±\sqrt{0^{2}-4\left(-100\right)\times 25}}{2\left(-100\right)}
Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -100 ni a, 0 ni b va 25 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-100\right)\times 25}}{2\left(-100\right)}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{400\times 25}}{2\left(-100\right)}
-4 ni -100 marotabaga ko'paytirish.
x=\frac{0±\sqrt{10000}}{2\left(-100\right)}
400 ni 25 marotabaga ko'paytirish.
x=\frac{0±100}{2\left(-100\right)}
10000 ning kvadrat ildizini chiqarish.
x=\frac{0±100}{-200}
2 ni -100 marotabaga ko'paytirish.
x=-\frac{1}{2}
x=\frac{0±100}{-200} tenglamasini yeching, bunda ± musbat. \frac{100}{-200} ulushini 100 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
x=\frac{1}{2}
x=\frac{0±100}{-200} tenglamasini yeching, bunda ± manfiy. \frac{-100}{-200} ulushini 100 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
x=-\frac{1}{2} x=\frac{1}{2}
Tenglama yechildi.
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