Whakaoti i te 5(x+15)^2-7=0

$$5 ( x + 15 ) ^ { 2 } - 7 = 0$$

Whakaoti mō x

$$x=\frac{\sqrt{35}}{5}-15\approx -13.816784043$$

$$x=-\frac{\sqrt{35}}{5}-15\approx -16.183215957$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri 7 ki ngā taha e rua o te whārite.

$$5\left(x+15\right)^{2}-7+7=7$$

Mā te tango i te 7 i a ia ake anō ka toe ko te 0.

$$5\left(x+15\right)^{2}=7$$

Whakawehea ngā taha e rua ki te 5.

$$\frac{5\left(x+15\right)^{2}}{5}=\frac{7}{5}$$

Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.

$$\left(x+15\right)^{2}=\frac{7}{5}$$

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

$$x+15=\frac{\sqrt{35}}{5} x+15=-\frac{\sqrt{35}}{5}$$

Me tango 15 mai i ngā taha e rua o te whārite.

$$x+15-15=\frac{\sqrt{35}}{5}-15 x+15-15=-\frac{\sqrt{35}}{5}-15$$

Mā te tango i te 15 i a ia ake anō ka toe ko te 0.

$$x=\frac{\sqrt{35}}{5}-15 x=-\frac{\sqrt{35}}{5}-15$$