Whakaoti mō x
x = \frac{9}{8} = 1\frac{1}{8} = 1.125
Graph
Pātaitai
Linear Equation
5 raruraru e ōrite ana ki:
\frac { 15 } { 2 x - 3 } = \frac { 10 } { 4 x - 5 }
Tohaina
Kua tāruatia ki te papatopenga
\left(4x-5\right)\times 15=\left(2x-3\right)\times 10
Tē taea kia ōrite te tāupe x ki tētahi o ngā uara \frac{5}{4},\frac{3}{2} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(2x-3\right)\left(4x-5\right), arā, te tauraro pātahi he tino iti rawa te kitea o 2x-3,4x-5.
60x-75=\left(2x-3\right)\times 10
Whakamahia te āhuatanga tohatoha hei whakarea te 4x-5 ki te 15.
60x-75=20x-30
Whakamahia te āhuatanga tohatoha hei whakarea te 2x-3 ki te 10.
60x-75-20x=-30
Tangohia te 20x mai i ngā taha e rua.
40x-75=-30
Pahekotia te 60x me -20x, ka 40x.
40x=-30+75
Me tāpiri te 75 ki ngā taha e rua.
40x=45
Tāpirihia te -30 ki te 75, ka 45.
x=\frac{45}{40}
Whakawehea ngā taha e rua ki te 40.
x=\frac{9}{8}
Whakahekea te hautanga \frac{45}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
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whārite paerangi
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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}