Whakaoti mō x
x=0
x=4
Graph
Pātaitai
Algebra
\sqrt{ x } = x \div 2
Tohaina
Kua tāruatia ki te papatopenga
\left(\sqrt{x}\right)^{2}=\left(\frac{x}{2}\right)^{2}
Pūruatia ngā taha e rua o te whārite.
x=\left(\frac{x}{2}\right)^{2}
Tātaihia te \sqrt{x} mā te pū o 2, kia riro ko x.
x=\frac{x^{2}}{2^{2}}
Kia whakarewa i te \frac{x}{2} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.
x=\frac{x^{2}}{4}
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
x-\frac{x^{2}}{4}=0
Tangohia te \frac{x^{2}}{4} mai i ngā taha e rua.
4x-x^{2}=0
Whakareatia ngā taha e rua o te whārite ki te 4.
-x^{2}+4x=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{-4±\sqrt{4^{2}}}{2\left(-1\right)}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -1 mō a, 4 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{-4±4}{2\left(-1\right)}
Tuhia te pūtakerua o te 4^{2}.
x=\frac{-4±4}{-2}
Whakareatia 2 ki te -1.
x=\frac{0}{-2}
Nā, me whakaoti te whārite x=\frac{-4±4}{-2} ina he tāpiri te ±. Tāpiri -4 ki te 4.
x=0
Whakawehe 0 ki te -2.
x=-\frac{8}{-2}
Nā, me whakaoti te whārite x=\frac{-4±4}{-2} ina he tango te ±. Tango 4 mai i -4.
x=4
Whakawehe -8 ki te -2.
x=0 x=4
Kua oti te whārite te whakatau.
\sqrt{0}=\frac{0}{2}
Whakakapia te 0 mō te x i te whārite \sqrt{x}=\frac{x}{2}.
0=0
Whakarūnātia. Ko te uara x=0 kua ngata te whārite.
\sqrt{4}=\frac{4}{2}
Whakakapia te 4 mō te x i te whārite \sqrt{x}=\frac{x}{2}.
2=2
Whakarūnātia. Ko te uara x=4 kua ngata te whārite.
x=0 x=4
Rārangihia ngā rongoā katoa o \sqrt{x}=\frac{x}{2}.
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