Neidio i'r prif gynnwys
Datrys ar gyfer x (complex solution)
Tick mark Image
Datrys ar gyfer x
Tick mark Image
Graff

Problemau tebyg o chwiliad gwe

Rhannu

\left(144x^{2}+168x+49\right)\left(3x+2\right)\left(2x+1\right)=3
Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(12x+7\right)^{2}.
\left(432x^{3}+792x^{2}+483x+98\right)\left(2x+1\right)=3
Defnyddio’r briodwedd ddosbarthu i luosi 144x^{2}+168x+49 â 3x+2 a chyfuno termau tebyg.
864x^{4}+2016x^{3}+1758x^{2}+679x+98=3
Defnyddio’r briodwedd ddosbarthu i luosi 432x^{3}+792x^{2}+483x+98 â 2x+1 a chyfuno termau tebyg.
864x^{4}+2016x^{3}+1758x^{2}+679x+98-3=0
Tynnu 3 o'r ddwy ochr.
864x^{4}+2016x^{3}+1758x^{2}+679x+95=0
Tynnu 3 o 98 i gael 95.
±\frac{95}{864},±\frac{95}{432},±\frac{95}{288},±\frac{95}{216},±\frac{95}{144},±\frac{95}{108},±\frac{95}{96},±\frac{95}{72},±\frac{95}{54},±\frac{95}{48},±\frac{95}{36},±\frac{95}{32},±\frac{95}{27},±\frac{95}{24},±\frac{95}{18},±\frac{95}{16},±\frac{95}{12},±\frac{95}{9},±\frac{95}{8},±\frac{95}{6},±\frac{95}{4},±\frac{95}{3},±\frac{95}{2},±95,±\frac{19}{864},±\frac{19}{432},±\frac{19}{288},±\frac{19}{216},±\frac{19}{144},±\frac{19}{108},±\frac{19}{96},±\frac{19}{72},±\frac{19}{54},±\frac{19}{48},±\frac{19}{36},±\frac{19}{32},±\frac{19}{27},±\frac{19}{24},±\frac{19}{18},±\frac{19}{16},±\frac{19}{12},±\frac{19}{9},±\frac{19}{8},±\frac{19}{6},±\frac{19}{4},±\frac{19}{3},±\frac{19}{2},±19,±\frac{5}{864},±\frac{5}{432},±\frac{5}{288},±\frac{5}{216},±\frac{5}{144},±\frac{5}{108},±\frac{5}{96},±\frac{5}{72},±\frac{5}{54},±\frac{5}{48},±\frac{5}{36},±\frac{5}{32},±\frac{5}{27},±\frac{5}{24},±\frac{5}{18},±\frac{5}{16},±\frac{5}{12},±\frac{5}{9},±\frac{5}{8},±\frac{5}{6},±\frac{5}{4},±\frac{5}{3},±\frac{5}{2},±5,±\frac{1}{864},±\frac{1}{432},±\frac{1}{288},±\frac{1}{216},±\frac{1}{144},±\frac{1}{108},±\frac{1}{96},±\frac{1}{72},±\frac{1}{54},±\frac{1}{48},±\frac{1}{36},±\frac{1}{32},±\frac{1}{27},±\frac{1}{24},±\frac{1}{18},±\frac{1}{16},±\frac{1}{12},±\frac{1}{9},±\frac{1}{8},±\frac{1}{6},±\frac{1}{4},±\frac{1}{3},±\frac{1}{2},±1
Yn ôl y Theorem Gwraidd Rhesymegol, mae gwreiddiau rhesymegol pob polynomial yn y ffurf \frac{p}{q}, lle mae p yn rhannu'r term cyson 95 ac mae q yn rhannu'r cyfernod arweiniol 864. Rhestru pob ymgeisydd \frac{p}{q}.
x=-\frac{1}{3}
Dewch o hyd i un isradd o'r fath drwy roi cynnig ar yr holl werthoedd cyfanrif, gan ddechrau o'r lleiaf yn ôl gwerth absoliwt. Os does dim israddau cyfanrif, rhowch gynnig ar ffracsiynau.
288x^{3}+576x^{2}+394x+95=0
Yn ôl y theorem Ffactorio, mae x-k yn ffactor o'r polynomial ar gyfer pob gwraidd k. Rhannu 864x^{4}+2016x^{3}+1758x^{2}+679x+95 â 3\left(x+\frac{1}{3}\right)=3x+1 i gael 288x^{3}+576x^{2}+394x+95. Datryswch yr hafaliad pan fydd y canlyniad yn hafal i 0.
±\frac{95}{288},±\frac{95}{144},±\frac{95}{96},±\frac{95}{72},±\frac{95}{48},±\frac{95}{36},±\frac{95}{32},±\frac{95}{24},±\frac{95}{18},±\frac{95}{16},±\frac{95}{12},±\frac{95}{9},±\frac{95}{8},±\frac{95}{6},±\frac{95}{4},±\frac{95}{3},±\frac{95}{2},±95,±\frac{19}{288},±\frac{19}{144},±\frac{19}{96},±\frac{19}{72},±\frac{19}{48},±\frac{19}{36},±\frac{19}{32},±\frac{19}{24},±\frac{19}{18},±\frac{19}{16},±\frac{19}{12},±\frac{19}{9},±\frac{19}{8},±\frac{19}{6},±\frac{19}{4},±\frac{19}{3},±\frac{19}{2},±19,±\frac{5}{288},±\frac{5}{144},±\frac{5}{96},±\frac{5}{72},±\frac{5}{48},±\frac{5}{36},±\frac{5}{32},±\frac{5}{24},±\frac{5}{18},±\frac{5}{16},±\frac{5}{12},±\frac{5}{9},±\frac{5}{8},±\frac{5}{6},±\frac{5}{4},±\frac{5}{3},±\frac{5}{2},±5,±\frac{1}{288},±\frac{1}{144},±\frac{1}{96},±\frac{1}{72},±\frac{1}{48},±\frac{1}{36},±\frac{1}{32},±\frac{1}{24},±\frac{1}{18},±\frac{1}{16},±\frac{1}{12},±\frac{1}{9},±\frac{1}{8},±\frac{1}{6},±\frac{1}{4},±\frac{1}{3},±\frac{1}{2},±1
Yn ôl y Theorem Gwraidd Rhesymegol, mae gwreiddiau rhesymegol pob polynomial yn y ffurf \frac{p}{q}, lle mae p yn rhannu'r term cyson 95 ac mae q yn rhannu'r cyfernod arweiniol 288. Rhestru pob ymgeisydd \frac{p}{q}.
x=-\frac{5}{6}
Dewch o hyd i un isradd o'r fath drwy roi cynnig ar yr holl werthoedd cyfanrif, gan ddechrau o'r lleiaf yn ôl gwerth absoliwt. Os does dim israddau cyfanrif, rhowch gynnig ar ffracsiynau.
48x^{2}+56x+19=0
Yn ôl y theorem Ffactorio, mae x-k yn ffactor o'r polynomial ar gyfer pob gwraidd k. Rhannu 288x^{3}+576x^{2}+394x+95 â 6\left(x+\frac{5}{6}\right)=6x+5 i gael 48x^{2}+56x+19. Datryswch yr hafaliad pan fydd y canlyniad yn hafal i 0.
x=\frac{-56±\sqrt{56^{2}-4\times 48\times 19}}{2\times 48}
Gellir datrys pob hafaliad sydd ar y ffurf ax^{2}+bx+c=0 gan ddefnyddio'r fformiwla cwadratig: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Rhowch 48 ar gyfer a, 56 ar gyfer b, a 19 ar gyfer c yn y fformiwla cwadratig.
x=\frac{-56±\sqrt{-512}}{96}
Gwnewch y gwaith cyfrifo.
x=-\frac{\sqrt{2}i}{6}-\frac{7}{12} x=\frac{\sqrt{2}i}{6}-\frac{7}{12}
Datryswch yr hafaliad 48x^{2}+56x+19=0 pan fo ± yn plws a phan fo ± yn minws.
x=-\frac{1}{3} x=-\frac{5}{6} x=-\frac{\sqrt{2}i}{6}-\frac{7}{12} x=\frac{\sqrt{2}i}{6}-\frac{7}{12}
Rhestrwch yr holl atebion a ganfuwyd.
\left(144x^{2}+168x+49\right)\left(3x+2\right)\left(2x+1\right)=3
Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(12x+7\right)^{2}.
\left(432x^{3}+792x^{2}+483x+98\right)\left(2x+1\right)=3
Defnyddio’r briodwedd ddosbarthu i luosi 144x^{2}+168x+49 â 3x+2 a chyfuno termau tebyg.
864x^{4}+2016x^{3}+1758x^{2}+679x+98=3
Defnyddio’r briodwedd ddosbarthu i luosi 432x^{3}+792x^{2}+483x+98 â 2x+1 a chyfuno termau tebyg.
864x^{4}+2016x^{3}+1758x^{2}+679x+98-3=0
Tynnu 3 o'r ddwy ochr.
864x^{4}+2016x^{3}+1758x^{2}+679x+95=0
Tynnu 3 o 98 i gael 95.
±\frac{95}{864},±\frac{95}{432},±\frac{95}{288},±\frac{95}{216},±\frac{95}{144},±\frac{95}{108},±\frac{95}{96},±\frac{95}{72},±\frac{95}{54},±\frac{95}{48},±\frac{95}{36},±\frac{95}{32},±\frac{95}{27},±\frac{95}{24},±\frac{95}{18},±\frac{95}{16},±\frac{95}{12},±\frac{95}{9},±\frac{95}{8},±\frac{95}{6},±\frac{95}{4},±\frac{95}{3},±\frac{95}{2},±95,±\frac{19}{864},±\frac{19}{432},±\frac{19}{288},±\frac{19}{216},±\frac{19}{144},±\frac{19}{108},±\frac{19}{96},±\frac{19}{72},±\frac{19}{54},±\frac{19}{48},±\frac{19}{36},±\frac{19}{32},±\frac{19}{27},±\frac{19}{24},±\frac{19}{18},±\frac{19}{16},±\frac{19}{12},±\frac{19}{9},±\frac{19}{8},±\frac{19}{6},±\frac{19}{4},±\frac{19}{3},±\frac{19}{2},±19,±\frac{5}{864},±\frac{5}{432},±\frac{5}{288},±\frac{5}{216},±\frac{5}{144},±\frac{5}{108},±\frac{5}{96},±\frac{5}{72},±\frac{5}{54},±\frac{5}{48},±\frac{5}{36},±\frac{5}{32},±\frac{5}{27},±\frac{5}{24},±\frac{5}{18},±\frac{5}{16},±\frac{5}{12},±\frac{5}{9},±\frac{5}{8},±\frac{5}{6},±\frac{5}{4},±\frac{5}{3},±\frac{5}{2},±5,±\frac{1}{864},±\frac{1}{432},±\frac{1}{288},±\frac{1}{216},±\frac{1}{144},±\frac{1}{108},±\frac{1}{96},±\frac{1}{72},±\frac{1}{54},±\frac{1}{48},±\frac{1}{36},±\frac{1}{32},±\frac{1}{27},±\frac{1}{24},±\frac{1}{18},±\frac{1}{16},±\frac{1}{12},±\frac{1}{9},±\frac{1}{8},±\frac{1}{6},±\frac{1}{4},±\frac{1}{3},±\frac{1}{2},±1
Yn ôl y Theorem Gwraidd Rhesymegol, mae gwreiddiau rhesymegol pob polynomial yn y ffurf \frac{p}{q}, lle mae p yn rhannu'r term cyson 95 ac mae q yn rhannu'r cyfernod arweiniol 864. Rhestru pob ymgeisydd \frac{p}{q}.
x=-\frac{1}{3}
Dewch o hyd i un isradd o'r fath drwy roi cynnig ar yr holl werthoedd cyfanrif, gan ddechrau o'r lleiaf yn ôl gwerth absoliwt. Os does dim israddau cyfanrif, rhowch gynnig ar ffracsiynau.
288x^{3}+576x^{2}+394x+95=0
Yn ôl y theorem Ffactorio, mae x-k yn ffactor o'r polynomial ar gyfer pob gwraidd k. Rhannu 864x^{4}+2016x^{3}+1758x^{2}+679x+95 â 3\left(x+\frac{1}{3}\right)=3x+1 i gael 288x^{3}+576x^{2}+394x+95. Datryswch yr hafaliad pan fydd y canlyniad yn hafal i 0.
±\frac{95}{288},±\frac{95}{144},±\frac{95}{96},±\frac{95}{72},±\frac{95}{48},±\frac{95}{36},±\frac{95}{32},±\frac{95}{24},±\frac{95}{18},±\frac{95}{16},±\frac{95}{12},±\frac{95}{9},±\frac{95}{8},±\frac{95}{6},±\frac{95}{4},±\frac{95}{3},±\frac{95}{2},±95,±\frac{19}{288},±\frac{19}{144},±\frac{19}{96},±\frac{19}{72},±\frac{19}{48},±\frac{19}{36},±\frac{19}{32},±\frac{19}{24},±\frac{19}{18},±\frac{19}{16},±\frac{19}{12},±\frac{19}{9},±\frac{19}{8},±\frac{19}{6},±\frac{19}{4},±\frac{19}{3},±\frac{19}{2},±19,±\frac{5}{288},±\frac{5}{144},±\frac{5}{96},±\frac{5}{72},±\frac{5}{48},±\frac{5}{36},±\frac{5}{32},±\frac{5}{24},±\frac{5}{18},±\frac{5}{16},±\frac{5}{12},±\frac{5}{9},±\frac{5}{8},±\frac{5}{6},±\frac{5}{4},±\frac{5}{3},±\frac{5}{2},±5,±\frac{1}{288},±\frac{1}{144},±\frac{1}{96},±\frac{1}{72},±\frac{1}{48},±\frac{1}{36},±\frac{1}{32},±\frac{1}{24},±\frac{1}{18},±\frac{1}{16},±\frac{1}{12},±\frac{1}{9},±\frac{1}{8},±\frac{1}{6},±\frac{1}{4},±\frac{1}{3},±\frac{1}{2},±1
Yn ôl y Theorem Gwraidd Rhesymegol, mae gwreiddiau rhesymegol pob polynomial yn y ffurf \frac{p}{q}, lle mae p yn rhannu'r term cyson 95 ac mae q yn rhannu'r cyfernod arweiniol 288. Rhestru pob ymgeisydd \frac{p}{q}.
x=-\frac{5}{6}
Dewch o hyd i un isradd o'r fath drwy roi cynnig ar yr holl werthoedd cyfanrif, gan ddechrau o'r lleiaf yn ôl gwerth absoliwt. Os does dim israddau cyfanrif, rhowch gynnig ar ffracsiynau.
48x^{2}+56x+19=0
Yn ôl y theorem Ffactorio, mae x-k yn ffactor o'r polynomial ar gyfer pob gwraidd k. Rhannu 288x^{3}+576x^{2}+394x+95 â 6\left(x+\frac{5}{6}\right)=6x+5 i gael 48x^{2}+56x+19. Datryswch yr hafaliad pan fydd y canlyniad yn hafal i 0.
x=\frac{-56±\sqrt{56^{2}-4\times 48\times 19}}{2\times 48}
Gellir datrys pob hafaliad sydd ar y ffurf ax^{2}+bx+c=0 gan ddefnyddio'r fformiwla cwadratig: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Rhowch 48 ar gyfer a, 56 ar gyfer b, a 19 ar gyfer c yn y fformiwla cwadratig.
x=\frac{-56±\sqrt{-512}}{96}
Gwnewch y gwaith cyfrifo.
x\in \emptyset
Gan nad yw ail isradd rhif negyddol wedi’i ddiffinio mewn maes real, does dim atebion.
x=-\frac{1}{3} x=-\frac{5}{6}
Rhestrwch yr holl atebion a ganfuwyd.