Whakaoti i te r^2=(-83)^2

$$r ^ { 2 } = ( - 83 ) ^ { 2 }$$

Whakaoti mō r

$$r=83$$

$$r=-83$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tātaihia te -83 mā te pū o 2, kia riro ko 6889.

$$r^{2}=6889$$

Tangohia te 6889 mai i ngā taha e rua.

$$r^{2}-6889=0$$

Whakaarohia te r^{2}-6889. Tuhia anō te r^{2}-6889 hei r^{2}-83^{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).

$$\left(r-83\right)\left(r+83\right)=0$$

Hei kimi otinga whārite, me whakaoti te r-83=0 me te r+83=0.

$$r=83 r=-83$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te -83 mā te pū o 2, kia riro ko 6889.

$$r^{2}=6889$$

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

$$r=83 r=-83$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te -83 mā te pū o 2, kia riro ko 6889.

$$r^{2}=6889$$

Tangohia te 6889 mai i ngā taha e rua.

$$r^{2}-6889=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -6889 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\left(-6889\right)}}{2}$$

Pūrua 0.

$$r=\frac{0±\sqrt{-4\left(-6889\right)}}{2}$$

Whakareatia -4 ki te -6889.

$$r=\frac{0±\sqrt{27556}}{2}$$

Tuhia te pūtakerua o te 27556.

$$r=\frac{0±166}{2}$$

Nā, me whakaoti te whārite r=\frac{0±166}{2} ina he tāpiri te ±. Whakawehe 166 ki te 2.

$$r=83$$

Nā, me whakaoti te whārite r=\frac{0±166}{2} ina he tango te ±. Whakawehe -166 ki te 2.

$$r=-83$$

Kua oti te whārite te whakatau.

$$r=83 r=-83$$