x uchun yechish
x=1
x=-1
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(x+2\right)\left(x+1\right)-3\left(x+1\right)=0
x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(x+2\right) ga, 3,x+2 ning eng kichik karralisiga ko‘paytiring.
x^{2}+3x+2-3\left(x+1\right)=0
x+2 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
x^{2}+3x+2-3x-3=0
-3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2-3=0
0 ni olish uchun 3x va -3x ni birlashtirish.
x^{2}-1=0
-1 olish uchun 2 dan 3 ni ayirish.
\left(x-1\right)\left(x+1\right)=0
Hisoblang: x^{2}-1. x^{2}-1 ni x^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x=1 x=-1
Tenglamani yechish uchun x-1=0 va x+1=0 ni yeching.
\left(x+2\right)\left(x+1\right)-3\left(x+1\right)=0
x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(x+2\right) ga, 3,x+2 ning eng kichik karralisiga ko‘paytiring.
x^{2}+3x+2-3\left(x+1\right)=0
x+2 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
x^{2}+3x+2-3x-3=0
-3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2-3=0
0 ni olish uchun 3x va -3x ni birlashtirish.
x^{2}-1=0
-1 olish uchun 2 dan 3 ni ayirish.
x^{2}=1
1 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.
x=1 x=-1
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
\left(x+2\right)\left(x+1\right)-3\left(x+1\right)=0
x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(x+2\right) ga, 3,x+2 ning eng kichik karralisiga ko‘paytiring.
x^{2}+3x+2-3\left(x+1\right)=0
x+2 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
x^{2}+3x+2-3x-3=0
-3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+2-3=0
0 ni olish uchun 3x va -3x ni birlashtirish.
x^{2}-1=0
-1 olish uchun 2 dan 3 ni ayirish.
x=\frac{0±\sqrt{0^{2}-4\left(-1\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 -1 ni c bilan almashtiring.
x=\frac{0±\sqrt{-4\left(-1\right)}}{2}
0 kvadratini chiqarish.
x=\frac{0±\sqrt{4}}{2}
-4 ni -1 marotabaga ko'paytirish.
x=\frac{0±2}{2}
4 ning kvadrat ildizini chiqarish.
x=1
x=\frac{0±2}{2} tenglamasini yeching, bunda ± musbat. 2 ni 2 ga bo'lish.
x=-1
x=\frac{0±2}{2} tenglamasini yeching, bunda ± manfiy. -2 ni 2 ga bo'lish.
x=1 x=-1
Tenglama yechildi.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
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}