Whakaoti mō x
x = \frac{2 \sqrt{3}}{3} \approx 1.154700538
x = -\frac{2 \sqrt{3}}{3} \approx -1.154700538
Graph
Tohaina
Kua tāruatia ki te papatopenga
3x^{2}=4
Pahekotia te 4x^{2} me -x^{2}, ka 3x^{2}.
x^{2}=\frac{4}{3}
Whakawehea ngā taha e rua ki te 3.
x=\frac{2\sqrt{3}}{3} x=-\frac{2\sqrt{3}}{3}
Tuhia te pūtakerua o ngā taha e rua o te whārite.
3x^{2}=4
Pahekotia te 4x^{2} me -x^{2}, ka 3x^{2}.
3x^{2}-4=0
Tangohia te 4 mai i ngā taha e rua.
x=\frac{0±\sqrt{0^{2}-4\times 3\left(-4\right)}}{2\times 3}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 3 mō a, 0 mō b, me -4 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\times 3\left(-4\right)}}{2\times 3}
Pūrua 0.
x=\frac{0±\sqrt{-12\left(-4\right)}}{2\times 3}
Whakareatia -4 ki te 3.
x=\frac{0±\sqrt{48}}{2\times 3}
Whakareatia -12 ki te -4.
x=\frac{0±4\sqrt{3}}{2\times 3}
Tuhia te pūtakerua o te 48.
x=\frac{0±4\sqrt{3}}{6}
Whakareatia 2 ki te 3.
x=\frac{2\sqrt{3}}{3}
Nā, me whakaoti te whārite x=\frac{0±4\sqrt{3}}{6} ina he tāpiri te ±.
x=-\frac{2\sqrt{3}}{3}
Nā, me whakaoti te whārite x=\frac{0±4\sqrt{3}}{6} ina he tango te ±.
x=\frac{2\sqrt{3}}{3} x=-\frac{2\sqrt{3}}{3}
Kua oti te whārite te whakatau.
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