Whakaoti i te (x+2)^2-(x+3)^2<3

$$( x + 2 ) ^ { 2 } - ( x + 3 ) ^ { 2 } < 3$$

Whakaoti mō x

$$x>-4$$

Ngā Upane Otinga

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

$$x^{2}+4x+4-\left(x+3\right)^{2}<3$$

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

$$x^{2}+4x+4-\left(x^{2}+6x+9\right)<3$$

Hei kimi i te tauaro o x^{2}+6x+9, kimihia te tauaro o ia taurangi.

$$x^{2}+4x+4-x^{2}-6x-9<3$$

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

$$4x+4-6x-9<3$$

Pahekotia te 4x me -6x, ka -2x.

$$-2x+4-9<3$$

Tangohia te 9 i te 4, ka -5.

$$-2x-5<3$$

Me tāpiri te 5 ki ngā taha e rua.

$$-2x<3+5$$

Tāpirihia te 3 ki te 5, ka 8.

$$-2x<8$$

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

$$x>\frac{8}{-2}$$

Whakawehea te 8 ki te -2, kia riro ko -4.

$$x>-4$$