Whakaoti i te (1-t)^2-t^2>3

$$( 1 - t ) ^ { 2 } - t ^ { 2 } > 3$$

Whakaoti mō t

$$t<-1$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(1-t\right)^{2}.

$$1-2t+t^{2}-t^{2}>3$$

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

$$1-2t>3$$

Tangohia te 1 mai i ngā taha e rua.

$$-2t>3-1$$

Tangohia te 1 i te 3, ka 2.

$$-2t>2$$

Whakawehea ngā taha e rua ki te -2. I te mea he tōraro a -2, ka huri te ahunga koreōrite.

$$t<\frac{2}{-2}$$

Whakawehea te 2 ki te -2, kia riro ko -1.

$$t<-1$$