Whakaoti mō x
x=\sqrt{e}\approx 1.648721271
x=-\sqrt{e}\approx -1.648721271
Graph
Pātaitai
Algebra
{ x }^{ 2 } =e
Tohaina
Kua tāruatia ki te papatopenga
x=\sqrt{e} x=-\sqrt{e}
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x^{2}=e
Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.
x^{2}-e=e-e
Me tango e mai i ngā taha e rua o te whārite.
x^{2}-e=0
Mā te tango i te e i a ia ake anō ka toe ko te 0.
x=\frac{0±\sqrt{0^{2}-4\left(-e\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -e mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-e\right)}}{2}
Pūrua 0.
x=\frac{0±\sqrt{4e}}{2}
Whakareatia -4 ki te -e.
x=\frac{0±2\sqrt{e}}{2}
Tuhia te pūtakerua o te 4e.
x=\sqrt{e}
Nā, me whakaoti te whārite x=\frac{0±2\sqrt{e}}{2} ina he tāpiri te ±.
x=-\sqrt{e}
Nā, me whakaoti te whārite x=\frac{0±2\sqrt{e}}{2} ina he tango te ±.
x=\sqrt{e} x=-\sqrt{e}
Kua oti te whārite te whakatau.
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