x uchun yechish
x=-13
Grafik
Baham ko'rish
Klipbordga nusxa olish
2+\left(x+3\right)\times 5=\left(x-3\right)\times 3
x qiymati -3,3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-3\right)\left(x+3\right) ga, x^{2}-9,x-3,x+3 ning eng kichik karralisiga ko‘paytiring.
2+5x+15=\left(x-3\right)\times 3
x+3 ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
17+5x=\left(x-3\right)\times 3
17 olish uchun 2 va 15'ni qo'shing.
17+5x=3x-9
x-3 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
17+5x-3x=-9
Ikkala tarafdan 3x ni ayirish.
17+2x=-9
2x ni olish uchun 5x va -3x ni birlashtirish.
2x=-9-17
Ikkala tarafdan 17 ni ayirish.
2x=-26
-26 olish uchun -9 dan 17 ni ayirish.
x=\frac{-26}{2}
Ikki tarafini 2 ga bo‘ling.
x=-13
-13 ni olish uchun -26 ni 2 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
y = 3x + 4
Arifmetik
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}