Aromātai
\frac{x^{2}}{2}-\frac{5x}{2}+\frac{9}{8}
Whakaroha
\frac{x^{2}}{2}-\frac{5x}{2}+\frac{9}{8}
Graph
Tohaina
Kua tāruatia ki te papatopenga
\frac{1}{2}\left(x^{2}-x+\frac{1}{4}\right)-2\left(x-\frac{1}{2}\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{2}\right)^{2}.
\frac{1}{2}x^{2}-\frac{1}{2}x+\frac{1}{8}-2\left(x-\frac{1}{2}\right)
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te x^{2}-x+\frac{1}{4}.
\frac{1}{2}x^{2}-\frac{1}{2}x+\frac{1}{8}-2x+1
Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-\frac{1}{2}.
\frac{1}{2}x^{2}-\frac{5}{2}x+\frac{1}{8}+1
Pahekotia te -\frac{1}{2}x me -2x, ka -\frac{5}{2}x.
\frac{1}{2}x^{2}-\frac{5}{2}x+\frac{9}{8}
Tāpirihia te \frac{1}{8} ki te 1, ka \frac{9}{8}.
\frac{1}{2}\left(x^{2}-x+\frac{1}{4}\right)-2\left(x-\frac{1}{2}\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-\frac{1}{2}\right)^{2}.
\frac{1}{2}x^{2}-\frac{1}{2}x+\frac{1}{8}-2\left(x-\frac{1}{2}\right)
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te x^{2}-x+\frac{1}{4}.
\frac{1}{2}x^{2}-\frac{1}{2}x+\frac{1}{8}-2x+1
Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-\frac{1}{2}.
\frac{1}{2}x^{2}-\frac{5}{2}x+\frac{1}{8}+1
Pahekotia te -\frac{1}{2}x me -2x, ka -\frac{5}{2}x.
\frac{1}{2}x^{2}-\frac{5}{2}x+\frac{9}{8}
Tāpirihia te \frac{1}{8} ki te 1, ka \frac{9}{8}.
Ngā Tauira
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