Whakaoti mō x
x=3
x=-3
Graph
Tohaina
Kua tāruatia ki te papatopenga
x^{2}-9=0
Tangohia te 9 mai i ngā taha e rua.
\left(x-3\right)\left(x+3\right)=0
Whakaarohia te x^{2}-9. Tuhia anō te x^{2}-9 hei x^{2}-3^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x=3 x=-3
Hei kimi otinga whārite, me whakaoti te x-3=0 me te x+3=0.
x=3 x=-3
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x^{2}-9=0
Tangohia te 9 mai i ngā taha e rua.
x=\frac{0±\sqrt{0^{2}-4\left(-9\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -9 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-9\right)}}{2}
Pūrua 0.
x=\frac{0±\sqrt{36}}{2}
Whakareatia -4 ki te -9.
x=\frac{0±6}{2}
Tuhia te pūtakerua o te 36.
x=3
Nā, me whakaoti te whārite x=\frac{0±6}{2} ina he tāpiri te ±. Whakawehe 6 ki te 2.
x=-3
Nā, me whakaoti te whārite x=\frac{0±6}{2} ina he tango te ±. Whakawehe -6 ki te 2.
x=3 x=-3
Kua oti te whārite te whakatau.
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