Tauwehe
\left(x-3\right)\left(4x+5\right)
Aromātai
\left(x-3\right)\left(4x+5\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
4x^{2}-7x-15
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=-7 ab=4\left(-15\right)=-60
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 4x^{2}+ax+bx-15. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
1,-60 2,-30 3,-20 4,-15 5,-12 6,-10
I te mea kua tōraro te ab, he tauaro ngā tohu o a me b. I te mea kua tōraro te a+b, he nui ake te uara pū o te tau tōraro i tō te tōrunga. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua -60.
1-60=-59 2-30=-28 3-20=-17 4-15=-11 5-12=-7 6-10=-4
Tātaihia te tapeke mō ia takirua.
a=-12 b=5
Ko te otinga te takirua ka hoatu i te tapeke -7.
\left(4x^{2}-12x\right)+\left(5x-15\right)
Tuhia anō te 4x^{2}-7x-15 hei \left(4x^{2}-12x\right)+\left(5x-15\right).
4x\left(x-3\right)+5\left(x-3\right)
Tauwehea te 4x i te tuatahi me te 5 i te rōpū tuarua.
\left(x-3\right)\left(4x+5\right)
Whakatauwehea atu te kīanga pātahi x-3 mā te whakamahi i te āhuatanga tātai tohatoha.
4x^{2}-7x-15
Pahekotia te -x me -6x, ka -7x.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
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whārite paerangi
y = 3x + 4
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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}