Whakaoti i te x^2-5/2-1/2=0

$${ x }^{ 2 } - \frac{ 5 }{ 2 } - \frac{ 1 }{ 2 } =0$$

Whakaoti mō x

$$x=\sqrt{3}\approx 1.732050808$$

$$x=-\sqrt{3}\approx -1.732050808$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te \frac{1}{2} i te -\frac{5}{2}, ka -3.

$$x^{2}-3=0$$

Me tāpiri te 3 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$x^{2}=3$$

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

$$x=\sqrt{3} x=-\sqrt{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te \frac{1}{2} i te -\frac{5}{2}, ka -3.

$$x^{2}-3=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -3 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-3\right)}}{2}$$

Whakareatia -4 ki te -3.

$$x=\frac{0±\sqrt{12}}{2}$$

Tuhia te pūtakerua o te 12.

$$x=\frac{0±2\sqrt{3}}{2}$$

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

$$x=\sqrt{3}$$

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

$$x=-\sqrt{3}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{3} x=-\sqrt{3}$$