Réitigh do c.
c=\frac{3\left(x+3\right)}{x^{2}}
x\neq 0
Réitigh do x. (complex solution)
\left\{\begin{matrix}x=\frac{3\left(\sqrt{4c+1}+1\right)}{2c}\text{; }x=\frac{3\left(-\sqrt{4c+1}+1\right)}{2c}\text{, }&c\neq 0\\x=-3\text{, }&c=0\end{matrix}\right.
Réitigh do x.
\left\{\begin{matrix}x=\frac{3\left(\sqrt{4c+1}+1\right)}{2c}\text{; }x=\frac{3\left(-\sqrt{4c+1}+1\right)}{2c}\text{, }&c\neq 0\text{ and }c\geq -\frac{1}{4}\\x=-3\text{, }&c=0\end{matrix}\right.
Graf
Tráth na gCeist
Algebra
5 fadhbanna cosúil le:
( c ) x ^ { 2 } - 3 x - 9 = 0
Roinn
Cóipeáladh go dtí an ghearrthaisce
cx^{2}-9=3x
Cuir 3x leis an dá thaobh. Is ionann rud ar bith móide nialas agus a shuim féin.
cx^{2}=3x+9
Cuir 9 leis an dá thaobh.
x^{2}c=3x+9
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{x^{2}c}{x^{2}}=\frac{3x+9}{x^{2}}
Roinn an dá thaobh faoi x^{2}.
c=\frac{3x+9}{x^{2}}
Má roinntear é faoi x^{2} cuirtear an iolrúchán faoi x^{2} ar ceal.
c=\frac{3\left(x+3\right)}{x^{2}}
Roinn 9+3x faoi x^{2}.
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\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]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}