Whakaoti mō x
x = \frac{4 \sqrt{91}}{5} \approx 7.631513611
x = -\frac{4 \sqrt{91}}{5} \approx -7.631513611
Graph
Tohaina
Kua tāruatia ki te papatopenga
98.01+x^{2}=12.5^{2}
Tātaihia te 9.9 mā te pū o 2, kia riro ko 98.01.
98.01+x^{2}=156.25
Tātaihia te 12.5 mā te pū o 2, kia riro ko 156.25.
x^{2}=156.25-98.01
Tangohia te 98.01 mai i ngā taha e rua.
x^{2}=58.24
Tangohia te 98.01 i te 156.25, ka 58.24.
x=\frac{4\sqrt{91}}{5} x=-\frac{4\sqrt{91}}{5}
Tuhia te pūtakerua o ngā taha e rua o te whārite.
98.01+x^{2}=12.5^{2}
Tātaihia te 9.9 mā te pū o 2, kia riro ko 98.01.
98.01+x^{2}=156.25
Tātaihia te 12.5 mā te pū o 2, kia riro ko 156.25.
98.01+x^{2}-156.25=0
Tangohia te 156.25 mai i ngā taha e rua.
-58.24+x^{2}=0
Tangohia te 156.25 i te 98.01, ka -58.24.
x^{2}-58.24=0
Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.
x=\frac{0±\sqrt{0^{2}-4\left(-58.24\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -58.24 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-58.24\right)}}{2}
Pūrua 0.
x=\frac{0±\sqrt{232.96}}{2}
Whakareatia -4 ki te -58.24.
x=\frac{0±\frac{8\sqrt{91}}{5}}{2}
Tuhia te pūtakerua o te 232.96.
x=\frac{4\sqrt{91}}{5}
Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{91}}{5}}{2} ina he tāpiri te ±.
x=-\frac{4\sqrt{91}}{5}
Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{91}}{5}}{2} ina he tango te ±.
x=\frac{4\sqrt{91}}{5} x=-\frac{4\sqrt{91}}{5}
Kua oti te whārite te whakatau.
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