Whakaoti i te left(x+1right)^2=x^2+7^2

$${ \left(x+1 \right) }^{ 2 } = { x }^{ 2 } + { 7 }^{ 2 }$$

Whakaoti mō x

$$x=24$$

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+1\right)^{2}.

$$x^{2}+2x+1=x^{2}+7^{2}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$x^{2}+2x+1=x^{2}+49$$

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

$$x^{2}+2x+1-x^{2}=49$$

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

$$2x+1=49$$

Tangohia te 1 mai i ngā taha e rua.

$$2x=49-1$$

Tangohia te 1 i te 49, ka 48.

$$2x=48$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{48}{2}$$

Whakawehea te 48 ki te 2, kia riro ko 24.

$$x=24$$