x uchun yechish
x=2
Grafik
Baham ko'rish
Klipbordga nusxa olish
4x^{2}+4x+1-\left(2x-1\right)^{2}=16
\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(2x+1\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+4x+1-\left(4x^{2}-4x+1\right)=16
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(2x-1\right)^{2} kengaytirilishi uchun ishlating.
4x^{2}+4x+1-4x^{2}+4x-1=16
4x^{2}-4x+1 teskarisini topish uchun har birining teskarisini toping.
4x+1+4x-1=16
0 ni olish uchun 4x^{2} va -4x^{2} ni birlashtirish.
8x+1-1=16
8x ni olish uchun 4x va 4x ni birlashtirish.
8x=16
0 olish uchun 1 dan 1 ni ayirish.
x=\frac{16}{8}
Ikki tarafini 8 ga bo‘ling.
x=2
2 ni olish uchun 16 ni 8 ga bo‘ling.
Misollar
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