Whakaoti i te 98b^2=2

$$98 b ^ { 2 } = 2$$

Whakaoti mō b

$$b=\frac{1}{7}\approx 0.142857143$$

$$b=-\frac{1}{7}\approx -0.142857143$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakawehea ngā taha e rua ki te 98.

$$b^{2}=\frac{2}{98}$$

Whakahekea te hautanga \frac{2}{98} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$b^{2}=\frac{1}{49}$$

Tangohia te \frac{1}{49} mai i ngā taha e rua.

$$b^{2}-\frac{1}{49}=0$$

Me whakarea ngā taha e rua ki te 49.

$$49b^{2}-1=0$$

Whakaarohia te 49b^{2}-1. Tuhia anō te 49b^{2}-1 hei \left(7b\right)^{2}-1^{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).

$$\left(7b-1\right)\left(7b+1\right)=0$$

Hei kimi otinga whārite, me whakaoti te 7b-1=0 me te 7b+1=0.

$$b=\frac{1}{7} b=-\frac{1}{7}$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 98.

$$b^{2}=\frac{2}{98}$$

Whakahekea te hautanga \frac{2}{98} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$b^{2}=\frac{1}{49}$$

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

$$b=\frac{1}{7} b=-\frac{1}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 98.

$$b^{2}=\frac{2}{98}$$

Whakahekea te hautanga \frac{2}{98} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$b^{2}=\frac{1}{49}$$

Tangohia te \frac{1}{49} mai i ngā taha e rua.

$$b^{2}-\frac{1}{49}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{1}{49} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$b=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{49}\right)}}{2}$$

Pūrua 0.

$$b=\frac{0±\sqrt{-4\left(-\frac{1}{49}\right)}}{2}$$

Whakareatia -4 ki te -\frac{1}{49}.

$$b=\frac{0±\sqrt{\frac{4}{49}}}{2}$$

Tuhia te pūtakerua o te \frac{4}{49}.

$$b=\frac{0±\frac{2}{7}}{2}$$

Nā, me whakaoti te whārite b=\frac{0±\frac{2}{7}}{2} ina he tāpiri te ±.

$$b=\frac{1}{7}$$

Nā, me whakaoti te whārite b=\frac{0±\frac{2}{7}}{2} ina he tango te ±.

$$b=-\frac{1}{7}$$

Kua oti te whārite te whakatau.

$$b=\frac{1}{7} b=-\frac{1}{7}$$