Whakaoti i te (t-7)^2=(t+7)^2-84

$$( t - 7 ) ^ { 2 } = ( t + 7 ) ^ { 2 } - 84$$

Whakaoti mō t

$$t=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(t-7\right)^{2}.

$$t^{2}-14t+49=\left(t+7\right)^{2}-84$$

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(t+7\right)^{2}.

$$t^{2}-14t+49=t^{2}+14t+49-84$$

Tangohia te 84 i te 49, ka -35.

$$t^{2}-14t+49=t^{2}+14t-35$$

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

$$t^{2}-14t+49-t^{2}=14t-35$$

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

$$-14t+49=14t-35$$

Tangohia te 14t mai i ngā taha e rua.

$$-14t+49-14t=-35$$

Pahekotia te -14t me -14t, ka -28t.

$$-28t+49=-35$$

Tangohia te 49 mai i ngā taha e rua.

$$-28t=-35-49$$

Tangohia te 49 i te -35, ka -84.

$$-28t=-84$$

Whakawehea ngā taha e rua ki te -28.

$$t=\frac{-84}{-28}$$

Whakawehea te -84 ki te -28, kia riro ko 3.

$$t=3$$