Whakaoti i te 2x^2+17=179

$$2 { x }^{ 2 } +17=179$$

Whakaoti mō x

$$x=9$$

$$x=-9$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te 179 mai i ngā taha e rua.

$$2x^{2}+17-179=0$$

Tangohia te 179 i te 17, ka -162.

$$2x^{2}-162=0$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}-81=0$$

Whakaarohia te x^{2}-81. Tuhia anō te x^{2}-81 hei x^{2}-9^{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).

$$\left(x-9\right)\left(x+9\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-9=0 me te x+9=0.

$$x=9 x=-9$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 17 mai i ngā taha e rua.

$$2x^{2}=179-17$$

Tangohia te 17 i te 179, ka 162.

$$2x^{2}=162$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{162}{2}$$

Whakawehea te 162 ki te 2, kia riro ko 81.

$$x^{2}=81$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=9 x=-9$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 179 mai i ngā taha e rua.

$$2x^{2}+17-179=0$$

Tangohia te 179 i te 17, ka -162.

$$2x^{2}-162=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -162 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-162\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-162\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-162\right)}}{2\times 2}$$

Whakareatia -8 ki te -162.

$$x=\frac{0±\sqrt{1296}}{2\times 2}$$

Tuhia te pūtakerua o te 1296.

$$x=\frac{0±36}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±36}{4}$$

Nā, me whakaoti te whārite x=\frac{0±36}{4} ina he tāpiri te ±. Whakawehe 36 ki te 4.

$$x=9$$

Nā, me whakaoti te whārite x=\frac{0±36}{4} ina he tango te ±. Whakawehe -36 ki te 4.

$$x=-9$$

Kua oti te whārite te whakatau.

$$x=9 x=-9$$