Whakaoti mō x
x=-10
x=0
Graph
Tohaina
Kua tāruatia ki te papatopenga
x\left(x+10\right)=0
Tauwehea te x.
x=0 x=-10
Hei kimi otinga whārite, me whakaoti te x=0 me te x+10=0.
x^{2}+10x=0
Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.
x=\frac{-10±\sqrt{10^{2}}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 10 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{-10±10}{2}
Tuhia te pūtakerua o te 10^{2}.
x=\frac{0}{2}
Nā, me whakaoti te whārite x=\frac{-10±10}{2} ina he tāpiri te ±. Tāpiri -10 ki te 10.
x=0
Whakawehe 0 ki te 2.
x=-\frac{20}{2}
Nā, me whakaoti te whārite x=\frac{-10±10}{2} ina he tango te ±. Tango 10 mai i -10.
x=-10
Whakawehe -20 ki te 2.
x=0 x=-10
Kua oti te whārite te whakatau.
x^{2}+10x=0
Ko ngā whārite pūrua pēnei i tēnei nā ka taea te whakaoti mā te whakaoti i te pūrua. Hei whakaoti i te pūrua, ko te whārite me mātua tuhi ki te āhua x^{2}+bx=c.
x^{2}+10x+5^{2}=5^{2}
Whakawehea te 10, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te 5. Nā, tāpiria te pūrua o te 5 ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.
x^{2}+10x+25=25
Pūrua 5.
\left(x+5\right)^{2}=25
Tauwehea x^{2}+10x+25. Ko te tikanga pūnoa, ina ko x^{2}+bx+c he pūrua tika pūrua tika pū, ka taea taua mea te tauwehea i ngā wā katoa hei \left(x+\frac{b}{2}\right)^{2}.
\sqrt{\left(x+5\right)^{2}}=\sqrt{25}
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x+5=5 x+5=-5
Whakarūnātia.
x=0 x=-10
Me tango 5 mai i ngā taha e rua o te whārite.
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