Whakaoti i te 15^2+19.639^2=x^2

$${ 15 }^{ 2 } + { 19.639 }^{ 2 } = { x }^{ 2 }$$

Whakaoti mō x

$$x = \frac{\sqrt{610690321}}{1000} \approx 24.712149259$$

$$x = -\frac{\sqrt{610690321}}{1000} \approx -24.712149259$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 15 mā te pū o 2, kia riro ko 225.

$$225+19.639^{2}=x^{2}$$

Tātaihia te 19.639 mā te pū o 2, kia riro ko 385.690321.

$$225+385.690321=x^{2}$$

Tāpirihia te 225 ki te 385.690321, ka 610.690321.

$$610.690321=x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=610.690321$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=\frac{\sqrt{610690321}}{1000} x=-\frac{\sqrt{610690321}}{1000}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 15 mā te pū o 2, kia riro ko 225.

$$225+19.639^{2}=x^{2}$$

Tātaihia te 19.639 mā te pū o 2, kia riro ko 385.690321.

$$225+385.690321=x^{2}$$

Tāpirihia te 225 ki te 385.690321, ka 610.690321.

$$610.690321=x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=610.690321$$

Tangohia te 610.690321 mai i ngā taha e rua.

$$x^{2}-610.690321=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -610.690321 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-610.690321\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-610.690321\right)}}{2}$$

Whakareatia -4 ki te -610.690321.

$$x=\frac{0±\sqrt{2442.761284}}{2}$$

Tuhia te pūtakerua o te 2442.761284.

$$x=\frac{0±\frac{\sqrt{610690321}}{500}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{610690321}}{500}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{610690321}}{1000}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{610690321}}{500}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{610690321}}{1000}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{610690321}}{1000} x=-\frac{\sqrt{610690321}}{1000}$$