Whakaoti i te x^2=left(x-10right)^2+24^2

$${ x }^{ 2 } = { \left(x-10 \right) }^{ 2 } + { 24 }^{ 2 }$$

Whakaoti mō x

$$x = \frac{169}{5} = 33\frac{4}{5} = 33.8$$

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-10\right)^{2}.

$$x^{2}=x^{2}-20x+100+24^{2}$$

Tātaihia te 24 mā te pū o 2, kia riro ko 576.

$$x^{2}=x^{2}-20x+100+576$$

Tāpirihia te 100 ki te 576, ka 676.

$$x^{2}=x^{2}-20x+676$$

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

$$x^{2}-x^{2}=-20x+676$$

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

$$0=-20x+676$$

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

$$-20x+676=0$$

Tangohia te 676 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-20x=-676$$

Whakawehea ngā taha e rua ki te -20.

$$x=\frac{-676}{-20}$$

Whakahekea te hautanga \frac{-676}{-20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x=\frac{169}{5}$$