y uchun yechish
y=-\left(\left(x-5\right)^{2}+25\right)
x uchun yechish (complex solution)
x=-i\sqrt{y+25}+5
x=i\sqrt{y+25}+5
x uchun yechish
x=-\sqrt{-y-25}+5
x=\sqrt{-y-25}+5\text{, }y\leq -25
Grafik
Viktorina
Algebra
y = - 25 - ( x - 5 ) ^ { 2 }
Baham ko'rish
Klipbordga nusxa olish
y=-25-\left(x^{2}-10x+25\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-5\right)^{2} kengaytirilishi uchun ishlating.
y=-25-x^{2}+10x-25
x^{2}-10x+25 teskarisini topish uchun har birining teskarisini toping.
y=-50-x^{2}+10x
-50 olish uchun -25 dan 25 ni ayirish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}