Whakaoti i te x^2+400=140*35

$$x ^ { 2 } + 400 = 140 \times 35$$

Whakaoti mō x

$$x=30\sqrt{5}\approx 67.082039325$$

$$x=-30\sqrt{5}\approx -67.082039325$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 140 ki te 35, ka 4900.

$$x^{2}+400=4900$$

Tangohia te 400 mai i ngā taha e rua.

$$x^{2}=4900-400$$

Tangohia te 400 i te 4900, ka 4500.

$$x^{2}=4500$$

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

$$x=30\sqrt{5} x=-30\sqrt{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 140 ki te 35, ka 4900.

$$x^{2}+400=4900$$

Tangohia te 4900 mai i ngā taha e rua.

$$x^{2}+400-4900=0$$

Tangohia te 4900 i te 400, ka -4500.

$$x^{2}-4500=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -4500 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-4500\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-4500\right)}}{2}$$

Whakareatia -4 ki te -4500.

$$x=\frac{0±\sqrt{18000}}{2}$$

Tuhia te pūtakerua o te 18000.

$$x=\frac{0±60\sqrt{5}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{5}}{2} ina he tāpiri te ±.

$$x=30\sqrt{5}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{5}}{2} ina he tango te ±.

$$x=-30\sqrt{5}$$

Kua oti te whārite te whakatau.

$$x=30\sqrt{5} x=-30\sqrt{5}$$