Aromātai
-\frac{3x^{2}}{4}+50
Whakaroha
-\frac{3x^{2}}{4}+50
Graph
Tohaina
Kua tāruatia ki te papatopenga
\frac{1\times 3}{2\times 2}\left(10-x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Me whakarea te \frac{1}{2} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{3}{4}\left(10-x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{2\times 2}.
\left(\frac{3}{4}\times 10+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te 10-x.
\left(\frac{3\times 10}{4}+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Tuhia te \frac{3}{4}\times 10 hei hautanga kotahi.
\left(\frac{30}{4}+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakareatia te 3 ki te 10, ka 30.
\left(\frac{15}{2}+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakahekea te hautanga \frac{30}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\left(\frac{15}{2}-\frac{3}{4}x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakareatia te \frac{3}{4} ki te -1, ka -\frac{3}{4}.
\frac{15}{2}x-\frac{3}{4}xx+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{15}{2}-\frac{3}{4}x ki te x.
\frac{15}{2}x-\frac{3}{4}x^{2}+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakareatia te x ki te x, ka x^{2}.
\frac{15}{2}x-\frac{3}{4}x^{2}+\frac{10}{2}\left(10-\frac{3}{2}x\right)
Whakareatia te \frac{1}{2} ki te 10, ka \frac{10}{2}.
\frac{15}{2}x-\frac{3}{4}x^{2}+5\left(10-\frac{3}{2}x\right)
Whakawehea te 10 ki te 2, kia riro ko 5.
\frac{15}{2}x-\frac{3}{4}x^{2}+50+5\left(-\frac{3}{2}\right)x
Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 10-\frac{3}{2}x.
\frac{15}{2}x-\frac{3}{4}x^{2}+50+\frac{5\left(-3\right)}{2}x
Tuhia te 5\left(-\frac{3}{2}\right) hei hautanga kotahi.
\frac{15}{2}x-\frac{3}{4}x^{2}+50+\frac{-15}{2}x
Whakareatia te 5 ki te -3, ka -15.
\frac{15}{2}x-\frac{3}{4}x^{2}+50-\frac{15}{2}x
Ka taea te hautanga \frac{-15}{2} te tuhi anō ko -\frac{15}{2} mā te tango i te tohu tōraro.
-\frac{3}{4}x^{2}+50
Pahekotia te \frac{15}{2}x me -\frac{15}{2}x, ka 0.
\frac{1\times 3}{2\times 2}\left(10-x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Me whakarea te \frac{1}{2} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{3}{4}\left(10-x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{2\times 2}.
\left(\frac{3}{4}\times 10+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te 10-x.
\left(\frac{3\times 10}{4}+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Tuhia te \frac{3}{4}\times 10 hei hautanga kotahi.
\left(\frac{30}{4}+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakareatia te 3 ki te 10, ka 30.
\left(\frac{15}{2}+\frac{3}{4}\left(-1\right)x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakahekea te hautanga \frac{30}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\left(\frac{15}{2}-\frac{3}{4}x\right)x+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakareatia te \frac{3}{4} ki te -1, ka -\frac{3}{4}.
\frac{15}{2}x-\frac{3}{4}xx+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{15}{2}-\frac{3}{4}x ki te x.
\frac{15}{2}x-\frac{3}{4}x^{2}+\frac{1}{2}\times 10\left(10-\frac{3}{2}x\right)
Whakareatia te x ki te x, ka x^{2}.
\frac{15}{2}x-\frac{3}{4}x^{2}+\frac{10}{2}\left(10-\frac{3}{2}x\right)
Whakareatia te \frac{1}{2} ki te 10, ka \frac{10}{2}.
\frac{15}{2}x-\frac{3}{4}x^{2}+5\left(10-\frac{3}{2}x\right)
Whakawehea te 10 ki te 2, kia riro ko 5.
\frac{15}{2}x-\frac{3}{4}x^{2}+50+5\left(-\frac{3}{2}\right)x
Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 10-\frac{3}{2}x.
\frac{15}{2}x-\frac{3}{4}x^{2}+50+\frac{5\left(-3\right)}{2}x
Tuhia te 5\left(-\frac{3}{2}\right) hei hautanga kotahi.
\frac{15}{2}x-\frac{3}{4}x^{2}+50+\frac{-15}{2}x
Whakareatia te 5 ki te -3, ka -15.
\frac{15}{2}x-\frac{3}{4}x^{2}+50-\frac{15}{2}x
Ka taea te hautanga \frac{-15}{2} te tuhi anō ko -\frac{15}{2} mā te tango i te tohu tōraro.
-\frac{3}{4}x^{2}+50
Pahekotia te \frac{15}{2}x me -\frac{15}{2}x, ka 0.
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