Whakaoti i te left(x+3right)^2+48=0

$${ \left(x+3 \right) }^{ 2 } +48 = 0$$

Whakaoti mō x (complex solution)

$$x=-4\sqrt{3}i-3\approx -3-6.92820323i$$

$$x=-3+4\sqrt{3}i\approx -3+6.92820323i$$

Ngā Upane mā te Kimi Pūtakerua

Mā te tango i te 48 i a ia ake anō ka toe ko te 0.

$$\left(x+3\right)^{2}=-48$$

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

$$x+3=4\sqrt{3}i x+3=-4\sqrt{3}i$$

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

$$x+3-3=4\sqrt{3}i-3 x+3-3=-4\sqrt{3}i-3$$

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

$$x=4\sqrt{3}i-3 x=-4\sqrt{3}i-3$$

Tango 3 mai i 4i\sqrt{3}.

$$x=-3+4\sqrt{3}i$$

Tango 3 mai i -4i\sqrt{3}.

$$x=-4\sqrt{3}i-3$$

Kua oti te whārite te whakatau.

$$x=-3+4\sqrt{3}i x=-4\sqrt{3}i-3$$