Whakaoti mō x
x\in \begin{bmatrix}-\sqrt{2},\sqrt{2}\end{bmatrix}
Graph
Tohaina
Kua tāruatia ki te papatopenga
x^{2}+2x+1-2\left(x+1\right)-1\leq 0
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+1\right)^{2}.
x^{2}+2x+1-2x-2-1\leq 0
Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+1.
x^{2}+1-2-1\leq 0
Pahekotia te 2x me -2x, ka 0.
x^{2}-1-1\leq 0
Tangohia te 2 i te 1, ka -1.
x^{2}-2\leq 0
Tangohia te 1 i te -1, ka -2.
x^{2}\leq 2
Me tāpiri te 2 ki ngā taha e rua.
x^{2}\leq \left(\sqrt{2}\right)^{2}
Tātaitia te pūtakerua o 2 kia tae ki \sqrt{2}. Tuhia anō te 2 hei \left(\sqrt{2}\right)^{2}.
|x|\leq \sqrt{2}
E mau ana te koreōrite mō |x|\leq \sqrt{2}.
x\in \begin{bmatrix}-\sqrt{2},\sqrt{2}\end{bmatrix}
Tuhia anō te |x|\leq \sqrt{2} hei x\in \left[-\sqrt{2},\sqrt{2}\right].
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