Whakaoti i te 6x^2+5=20

$$6 x ^ { 2 } + 5 = 20$$

Whakaoti mō x

$$x = \frac{\sqrt{10}}{2} \approx 1.58113883$$

$$x = -\frac{\sqrt{10}}{2} \approx -1.58113883$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 5 mai i ngā taha e rua.

$$6x^{2}=20-5$$

Tangohia te 5 i te 20, ka 15.

$$6x^{2}=15$$

Whakawehea ngā taha e rua ki te 6.

$$x^{2}=\frac{15}{6}$$

Whakahekea te hautanga \frac{15}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x^{2}=\frac{5}{2}$$

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

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 20 mai i ngā taha e rua.

$$6x^{2}+5-20=0$$

Tangohia te 20 i te 5, ka -15.

$$6x^{2}-15=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 6 mō a, 0 mō b, me -15 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-15\right)}}{2\times 6}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-15\right)}}{2\times 6}$$

Whakareatia -4 ki te 6.

$$x=\frac{0±\sqrt{-24\left(-15\right)}}{2\times 6}$$

Whakareatia -24 ki te -15.

$$x=\frac{0±\sqrt{360}}{2\times 6}$$

Tuhia te pūtakerua o te 360.

$$x=\frac{0±6\sqrt{10}}{2\times 6}$$

Whakareatia 2 ki te 6.

$$x=\frac{0±6\sqrt{10}}{12}$$

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{10}}{12} ina he tāpiri te ±.

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

Nā, me whakaoti te whārite x=\frac{0±6\sqrt{10}}{12} ina he tango te ±.

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

Kua oti te whārite te whakatau.

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