y uchun yechish
y=-1
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(y+5\right)\left(y-2\right)=\left(y-5\right)\left(y+3\right)
y qiymati -5,5 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(y-5\right)\left(y+5\right) ga, y-5,y+5 ning eng kichik karralisiga ko‘paytiring.
y^{2}+3y-10=\left(y-5\right)\left(y+3\right)
y+5 ga y-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
y^{2}+3y-10=y^{2}-2y-15
y-5 ga y+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
y^{2}+3y-10-y^{2}=-2y-15
Ikkala tarafdan y^{2} ni ayirish.
3y-10=-2y-15
0 ni olish uchun y^{2} va -y^{2} ni birlashtirish.
3y-10+2y=-15
2y ni ikki tarafga qo’shing.
5y-10=-15
5y ni olish uchun 3y va 2y ni birlashtirish.
5y=-15+10
10 ni ikki tarafga qo’shing.
5y=-5
-5 olish uchun -15 va 10'ni qo'shing.
y=\frac{-5}{5}
Ikki tarafini 5 ga bo‘ling.
y=-1
-1 ni olish uchun -5 ni 5 ga bo‘ling.
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}