Whakaoti i te x*x+4=192

$$x \times x+4=192$$

Whakaoti mō x

$$x=2\sqrt{47}\approx 13.711309201$$

$$x=-2\sqrt{47}\approx -13.711309201$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}+4=192$$

Tangohia te 4 mai i ngā taha e rua.

$$x^{2}=192-4$$

Tangohia te 4 i te 192, ka 188.

$$x^{2}=188$$

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

$$x=2\sqrt{47} x=-2\sqrt{47}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}+4=192$$

Tangohia te 192 mai i ngā taha e rua.

$$x^{2}+4-192=0$$

Tangohia te 192 i te 4, ka -188.

$$x^{2}-188=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -188 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-188\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-188\right)}}{2}$$

Whakareatia -4 ki te -188.

$$x=\frac{0±\sqrt{752}}{2}$$

Tuhia te pūtakerua o te 752.

$$x=\frac{0±4\sqrt{47}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{47}}{2} ina he tāpiri te ±.

$$x=2\sqrt{47}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{47}}{2} ina he tango te ±.

$$x=-2\sqrt{47}$$

Kua oti te whārite te whakatau.

$$x=2\sqrt{47} x=-2\sqrt{47}$$