Whakaoti i te 36+x^2=(x+24)^2

$$36 + x ^ { 2 } = ( x + 24 ) ^ { 2 }$$

Whakaoti mō x

$$x = -\frac{45}{4} = -11\frac{1}{4} = -11.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+24\right)^{2}.

$$36+x^{2}=x^{2}+48x+576$$

Tangohia te x^{2} mai i ngā taha e rua.

$$36+x^{2}-x^{2}=48x+576$$

Pahekotia te x^{2} me -x^{2}, ka 0.

$$36=48x+576$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$48x+576=36$$

Tangohia te 576 mai i ngā taha e rua.

$$48x=36-576$$

Tangohia te 576 i te 36, ka -540.

$$48x=-540$$

Whakawehea ngā taha e rua ki te 48.

$$x=\frac{-540}{48}$$

Whakahekea te hautanga \frac{-540}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$x=-\frac{45}{4}$$