Whakaoti mō x
x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(2x\right)^{2}-9=\left(4x-1\right)\left(x+1\right)
Whakaarohia te \left(2x+3\right)\left(2x-3\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 3.
2^{2}x^{2}-9=\left(4x-1\right)\left(x+1\right)
Whakarohaina te \left(2x\right)^{2}.
4x^{2}-9=\left(4x-1\right)\left(x+1\right)
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
4x^{2}-9=4x^{2}+3x-1
Whakamahia te āhuatanga tuaritanga hei whakarea te 4x-1 ki te x+1 ka whakakotahi i ngā kupu rite.
4x^{2}-9-4x^{2}=3x-1
Tangohia te 4x^{2} mai i ngā taha e rua.
-9=3x-1
Pahekotia te 4x^{2} me -4x^{2}, ka 0.
3x-1=-9
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
3x=-9+1
Me tāpiri te 1 ki ngā taha e rua.
3x=-8
Tāpirihia te -9 ki te 1, ka -8.
x=\frac{-8}{3}
Whakawehea ngā taha e rua ki te 3.
x=-\frac{8}{3}
Ka taea te hautanga \frac{-8}{3} te tuhi anō ko -\frac{8}{3} mā te tango i te tohu tōraro.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\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]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}