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x^{2}=\frac{252}{7}
Ikki tarafini 7 ga bo‘ling.
x^{2}=36
36 ni olish uchun 252 ni 7 ga bo‘ling.
x^{2}-36=0
Ikkala tarafdan 36 ni ayirish.
\left(x-6\right)\left(x+6\right)=0
Hisoblang: x^{2}-36. x^{2}-36 ni x^{2}-6^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x=6 x=-6
Tenglamani yechish uchun x-6=0 va x+6=0 ni yeching.
x^{2}=\frac{252}{7}
Ikki tarafini 7 ga bo‘ling.
x^{2}=36
36 ni olish uchun 252 ni 7 ga bo‘ling.
x=6 x=-6
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
x^{2}=\frac{252}{7}
Ikki tarafini 7 ga bo‘ling.
x^{2}=36
36 ni olish uchun 252 ni 7 ga bo‘ling.
x^{2}-36=0
Ikkala tarafdan 36 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\left(-36\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 -36 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-36\right)}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{144}}{2}
-4 ni -36 marotabaga ko'paytirish.
x=\frac{0±12}{2}
144 ning kvadrat ildizini chiqarish.
x=6
x=\frac{0±12}{2} tenglamasini yeching, bunda ± musbat. 12 ni 2 ga bo'lish.
x=-6
x=\frac{0±12}{2} tenglamasini yeching, bunda ± manfiy. -12 ni 2 ga bo'lish.
x=6 x=-6
Tenglama yechildi.