Whakaoti i te (2k+3)^2=8

$$( 2 k + 3 ) ^ { 2 } = 8$$

Whakaoti mō k

$$k=\sqrt{2}-\frac{3}{2}\approx -0.085786438$$

$$k=-\sqrt{2}-\frac{3}{2}\approx -2.914213562$$

Ngā Upane mā te Kimi Pūtakerua

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

$$2k+3=2\sqrt{2} 2k+3=-2\sqrt{2}$$

Me tango 3 mai i ngā taha e rua o te whārite.

$$2k+3-3=2\sqrt{2}-3 2k+3-3=-2\sqrt{2}-3$$

Mā te tango i te 3 i a ia ake anō ka toe ko te 0.

$$2k=2\sqrt{2}-3 2k=-2\sqrt{2}-3$$

Tango 3 mai i 2\sqrt{2}.

$$2k=2\sqrt{2}-3$$

Tango 3 mai i -2\sqrt{2}.

$$2k=-2\sqrt{2}-3$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2k}{2}=\frac{2\sqrt{2}-3}{2} \frac{2k}{2}=\frac{-2\sqrt{2}-3}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$k=\frac{2\sqrt{2}-3}{2} k=\frac{-2\sqrt{2}-3}{2}$$

Whakawehe 2\sqrt{2}-3 ki te 2.

$$k=\sqrt{2}-\frac{3}{2}$$

Whakawehe -2\sqrt{2}-3 ki te 2.

$$k=-\sqrt{2}-\frac{3}{2}$$

Kua oti te whārite te whakatau.

$$k=\sqrt{2}-\frac{3}{2} k=-\sqrt{2}-\frac{3}{2}$$