Whakaoti i te 45=90/4+x^2

$$45 = \frac { 90 } { 4 } + x ^ { 2 }$$

Whakaoti mō x

$$x = \frac{3 \sqrt{10}}{2} \approx 4.74341649$$

$$x = -\frac{3 \sqrt{10}}{2} \approx -4.74341649$$

Ngā Upane mā te Kimi Pūtakerua

Whakahekea te hautanga \frac{90}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$45=\frac{45}{2}+x^{2}$$

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

$$\frac{45}{2}+x^{2}=45$$

Tangohia te \frac{45}{2} mai i ngā taha e rua.

$$x^{2}=45-\frac{45}{2}$$

Tangohia te \frac{45}{2} i te 45, ka \frac{45}{2}.

$$x^{2}=\frac{45}{2}$$

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

$$x=\frac{3\sqrt{10}}{2} x=-\frac{3\sqrt{10}}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakahekea te hautanga \frac{90}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$45=\frac{45}{2}+x^{2}$$

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

$$\frac{45}{2}+x^{2}=45$$

Tangohia te 45 mai i ngā taha e rua.

$$\frac{45}{2}+x^{2}-45=0$$

Tangohia te 45 i te \frac{45}{2}, ka -\frac{45}{2}.

$$-\frac{45}{2}+x^{2}=0$$

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.

$$x^{2}-\frac{45}{2}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{45}{2} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{45}{2}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{45}{2}\right)}}{2}$$

Whakareatia -4 ki te -\frac{45}{2}.

$$x=\frac{0±\sqrt{90}}{2}$$

Tuhia te pūtakerua o te 90.

$$x=\frac{0±3\sqrt{10}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±3\sqrt{10}}{2} ina he tāpiri te ±.

$$x=\frac{3\sqrt{10}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±3\sqrt{10}}{2} ina he tango te ±.

$$x=-\frac{3\sqrt{10}}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{3\sqrt{10}}{2} x=-\frac{3\sqrt{10}}{2}$$