x uchun yechish
x=0
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}-4x+4-\left(x+1\right)\left(x-1\right)=5
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-2\right)^{2} kengaytirilishi uchun ishlating.
x^{2}-4x+4-\left(x^{2}-1\right)=5
Hisoblang: \left(x+1\right)\left(x-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.
x^{2}-4x+4-x^{2}+1=5
x^{2}-1 teskarisini topish uchun har birining teskarisini toping.
-4x+4+1=5
0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.
-4x+5=5
5 olish uchun 4 va 1'ni qo'shing.
-4x=5-5
Ikkala tarafdan 5 ni ayirish.
-4x=0
0 olish uchun 5 dan 5 ni ayirish.
x=0
Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -4 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
y = 3x + 4
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Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
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Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}