Whakaoti i te (x+3)^2=5^2+x^2

$$( x + 3 ) ^ { 2 } = 5 ^ { 2 } + x ^ { 2 }$$

Whakaoti mō x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+3\right)^{2}.

$$x^{2}+6x+9=5^{2}+x^{2}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$x^{2}+6x+9=25+x^{2}$$

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

$$x^{2}+6x+9-x^{2}=25$$

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

$$6x+9=25$$

Tangohia te 9 mai i ngā taha e rua.

$$6x=25-9$$

Tangohia te 9 i te 25, ka 16.

$$6x=16$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{16}{6}$$

Whakahekea te hautanga \frac{16}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{8}{3}$$