Whakaoti i te 36+x^2=(x+2.4)^2

$$36 + x ^ { 2 } = ( x + 2.4 ) ^ { 2 }$$

Whakaoti mō x

$$x=6.3$$

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+2.4\right)^{2}.

$$36+x^{2}=x^{2}+4.8x+5.76$$

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

$$36+x^{2}-x^{2}=4.8x+5.76$$

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

$$36=4.8x+5.76$$

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

$$4.8x+5.76=36$$

Tangohia te 5.76 mai i ngā taha e rua.

$$4.8x=36-5.76$$

Tangohia te 5.76 i te 36, ka 30.24.

$$4.8x=30.24$$

Whakawehea ngā taha e rua ki te 4.8.

$$x=\frac{30.24}{4.8}$$

Whakarohaina te \frac{30.24}{4.8} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{3024}{480}$$

Whakahekea te hautanga \frac{3024}{480} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 48.

$$x=\frac{63}{10}$$