x uchun yechish
x=-1
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(2x-1\right)\times 2+x=\left(2x+1\right)\times 7
x qiymati -\frac{1}{2},\frac{1}{2} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(2x-1\right)\left(2x+1\right) ga, 2x+1,4x^{2}-1,2x-1 ning eng kichik karralisiga ko‘paytiring.
4x-2+x=\left(2x+1\right)\times 7
2x-1 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x-2=\left(2x+1\right)\times 7
5x ni olish uchun 4x va x ni birlashtirish.
5x-2=14x+7
2x+1 ga 7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x-2-14x=7
Ikkala tarafdan 14x ni ayirish.
-9x-2=7
-9x ni olish uchun 5x va -14x ni birlashtirish.
-9x=7+2
2 ni ikki tarafga qo’shing.
-9x=9
9 olish uchun 7 va 2'ni qo'shing.
x=\frac{9}{-9}
Ikki tarafini -9 ga bo‘ling.
x=-1
-1 ni olish uchun 9 ni -9 ga bo‘ling.
Misollar
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{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
y = 3x + 4
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699 * 533
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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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}