Whakaoti i te x^2=75

$${ x }^{ 2 } =75$$

Whakaoti mō x

$$x=5\sqrt{3}\approx 8.660254038$$

$$x=-5\sqrt{3}\approx -8.660254038$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x=5\sqrt{3} x=-5\sqrt{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 75 mai i ngā taha e rua.

$$x^{2}-75=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -75 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-75\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-75\right)}}{2}$$

Whakareatia -4 ki te -75.

$$x=\frac{0±\sqrt{300}}{2}$$

Tuhia te pūtakerua o te 300.

$$x=\frac{0±10\sqrt{3}}{2}$$

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

$$x=5\sqrt{3}$$

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

$$x=-5\sqrt{3}$$

Kua oti te whārite te whakatau.

$$x=5\sqrt{3} x=-5\sqrt{3}$$