Whakaoti i te -0.02left(x-150right)^2+450=418

$$-0.02 { \left(x-150 \right) }^{ 2 } +450=418$$

Whakaoti mō x

$$x=190$$

$$x=110$$

Ngā Upane mā te Kimi Pūtakerua

Me tango 450 mai i ngā taha e rua o te whārite.

$$-0.02\left(x-150\right)^{2}+450-450=418-450$$

Mā te tango i te 450 i a ia ake anō ka toe ko te 0.

$$-0.02\left(x-150\right)^{2}=418-450$$

Tango 450 mai i 418.

$$-0.02\left(x-150\right)^{2}=-32$$

Me whakarea ngā taha e rua ki te -50.

$$\frac{-0.02\left(x-150\right)^{2}}{-0.02}=-\frac{32}{-0.02}$$

Mā te whakawehe ki te -0.02 ka wetekia te whakareanga ki te -0.02.

$$\left(x-150\right)^{2}=-\frac{32}{-0.02}$$

Whakawehe -32 ki te -0.02 mā te whakarea -32 ki te tau huripoki o -0.02.

$$\left(x-150\right)^{2}=1600$$

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

$$x-150=40 x-150=-40$$

Me tāpiri 150 ki ngā taha e rua o te whārite.

$$x-150-\left(-150\right)=40-\left(-150\right) x-150-\left(-150\right)=-40-\left(-150\right)$$

Mā te tango i te -150 i a ia ake anō ka toe ko te 0.

$$x=40-\left(-150\right) x=-40-\left(-150\right)$$

Tango -150 mai i 40.

$$x=190$$

Tango -150 mai i -40.

$$x=110$$

Kua oti te whārite te whakatau.

$$x=190 x=110$$