Whakaoti i te 3+(9-x)^2=x^2

$$3 + ( 9 - x ) ^ { 2 } = x ^ { 2 }$$

Whakaoti mō x

$$x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(9-x\right)^{2}.

$$3+81-18x+x^{2}=x^{2}$$

Tāpirihia te 3 ki te 81, ka 84.

$$84-18x+x^{2}=x^{2}$$

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

$$84-18x+x^{2}-x^{2}=0$$

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

$$84-18x=0$$

Tangohia te 84 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-18x=-84$$

Whakawehea ngā taha e rua ki te -18.

$$x=\frac{-84}{-18}$$

Whakahekea te hautanga \frac{-84}{-18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -6.

$$x=\frac{14}{3}$$