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Whakaoti mō x
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x^{2}=25+12^{2}
Tātaihia te 5 mā te pū o 2, kia riro ko 25.
x^{2}=25+144
Tātaihia te 12 mā te pū o 2, kia riro ko 144.
x^{2}=169
Tāpirihia te 25 ki te 144, ka 169.
x^{2}-169=0
Tangohia te 169 mai i ngā taha e rua.
\left(x-13\right)\left(x+13\right)=0
Whakaarohia te x^{2}-169. Tuhia anō te x^{2}-169 hei x^{2}-13^{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=13 x=-13
Hei kimi otinga whārite, me whakaoti te x-13=0 me te x+13=0.
x^{2}=25+12^{2}
Tātaihia te 5 mā te pū o 2, kia riro ko 25.
x^{2}=25+144
Tātaihia te 12 mā te pū o 2, kia riro ko 144.
x^{2}=169
Tāpirihia te 25 ki te 144, ka 169.
x=13 x=-13
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x^{2}=25+12^{2}
Tātaihia te 5 mā te pū o 2, kia riro ko 25.
x^{2}=25+144
Tātaihia te 12 mā te pū o 2, kia riro ko 144.
x^{2}=169
Tāpirihia te 25 ki te 144, ka 169.
x^{2}-169=0
Tangohia te 169 mai i ngā taha e rua.
x=\frac{0±\sqrt{0^{2}-4\left(-169\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -169 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-169\right)}}{2}
Pūrua 0.
x=\frac{0±\sqrt{676}}{2}
Whakareatia -4 ki te -169.
x=\frac{0±26}{2}
Tuhia te pūtakerua o te 676.
x=13
Nā, me whakaoti te whārite x=\frac{0±26}{2} ina he tāpiri te ±. Whakawehe 26 ki te 2.
x=-13
Nā, me whakaoti te whārite x=\frac{0±26}{2} ina he tango te ±. Whakawehe -26 ki te 2.
x=13 x=-13
Kua oti te whārite te whakatau.