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x^{2}-17=0
-17 olish uchun -18 va 1'ni qo'shing.
x^{2}=17
17 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.
x=\sqrt{17} x=-\sqrt{17}
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
x^{2}-17=0
-17 olish uchun -18 va 1'ni qo'shing.
x=\frac{0±\sqrt{0^{2}-4\left(-17\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 -17 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-17\right)}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{68}}{2}
-4 ni -17 marotabaga ko'paytirish.
x=\frac{0±2\sqrt{17}}{2}
68 ning kvadrat ildizini chiqarish.
x=\sqrt{17}
x=\frac{0±2\sqrt{17}}{2} tenglamasini yeching, bunda ± musbat.
x=-\sqrt{17}
x=\frac{0±2\sqrt{17}}{2} tenglamasini yeching, bunda ± manfiy.
x=\sqrt{17} x=-\sqrt{17}
Tenglama yechildi.