Whakaoti i te cos70^circ=x^2+x^2-10^2/2(x)(x)

$$\cos 70 ^ { \circ } = \frac { x ^ { 2 } + x ^ { 2 } - 10 ^ { 2 } } { 2 ( x ) ( x ) }$$

Whakaoti mō x

$$x = \frac{125000000 \sqrt{822474820842914}}{411237410421457} = 8\frac{294953443822382}{411237410421457} \approx 8.717233978$$

$$x = -\frac{125000000 \sqrt{822474820842914}}{411237410421457} = -8\frac{294953443822382}{411237410421457} \approx -8.717233978$$

Ngā Upane mā te Kimi Pūtakerua

Evaluate trigonometric functions in the problem

$$0.3420201433256688 = \frac{x ^ {2} + x ^ {2} - 10 ^ {2}}{2 {(x)} {(x)}}$$

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2x^{2}.

$$0.6840402866513376x^{2}=x^{2}+x^{2}-10^{2}$$

Pahekotia te x^{2} me x^{2}, ka 2x^{2}.

$$0.6840402866513376x^{2}=2x^{2}-10^{2}$$

Tātaihia te 10 mā te pū o 2, kia riro ko 100.

$$0.6840402866513376x^{2}=2x^{2}-100$$

Tangohia te 2x^{2} mai i ngā taha e rua.

$$0.6840402866513376x^{2}-2x^{2}=-100$$

Pahekotia te 0.6840402866513376x^{2} me -2x^{2}, ka -1.3159597133486624x^{2}.

$$-1.3159597133486624x^{2}=-100$$

Whakawehea ngā taha e rua ki te -1.3159597133486624.

$$x^{2}=\frac{-100}{-1.3159597133486624}$$

Whakarohaina te \frac{-100}{-1.3159597133486624} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$x^{2}=\frac{-1000000000000000000}{-13159597133486624}$$

Whakahekea te hautanga \frac{-1000000000000000000}{-13159597133486624} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -32.

$$x^{2}=\frac{31250000000000000}{411237410421457}$$

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

$$x=\frac{125000000\sqrt{822474820842914}}{411237410421457} x=-\frac{125000000\sqrt{822474820842914}}{411237410421457}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Evaluate trigonometric functions in the problem

$$0.3420201433256688 = \frac{x ^ {2} + x ^ {2} - 10 ^ {2}}{2 {(x)} {(x)}}$$

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2x^{2}.

$$0.6840402866513376x^{2}=x^{2}+x^{2}-10^{2}$$

Pahekotia te x^{2} me x^{2}, ka 2x^{2}.

$$0.6840402866513376x^{2}=2x^{2}-10^{2}$$

Tātaihia te 10 mā te pū o 2, kia riro ko 100.

$$0.6840402866513376x^{2}=2x^{2}-100$$

Tangohia te 2x^{2} mai i ngā taha e rua.

$$0.6840402866513376x^{2}-2x^{2}=-100$$

Pahekotia te 0.6840402866513376x^{2} me -2x^{2}, ka -1.3159597133486624x^{2}.

$$-1.3159597133486624x^{2}=-100$$

Me tāpiri te 100 ki ngā taha e rua.

$$-1.3159597133486624x^{2}+100=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -1.3159597133486624 mō a, 0 mō b, me 100 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1.3159597133486624\right)\times 100}}{2\left(-1.3159597133486624\right)}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-1.3159597133486624\right)\times 100}}{2\left(-1.3159597133486624\right)}$$

Whakareatia -4 ki te -1.3159597133486624.

$$x=\frac{0±\sqrt{5.2638388533946496\times 100}}{2\left(-1.3159597133486624\right)}$$

Whakareatia 5.2638388533946496 ki te 100.

$$x=\frac{0±\sqrt{526.38388533946496}}{2\left(-1.3159597133486624\right)}$$

Tuhia te pūtakerua o te 526.38388533946496.

$$x=\frac{0±\frac{\sqrt{822474820842914}}{1250000}}{2\left(-1.3159597133486624\right)}$$

Whakareatia 2 ki te -1.3159597133486624.

$$x=\frac{0±\frac{\sqrt{822474820842914}}{1250000}}{-2.6319194266973248}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{822474820842914}}{1250000}}{-2.6319194266973248} ina he tāpiri te ±.

$$x=-\frac{125000000\sqrt{822474820842914}}{411237410421457}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{822474820842914}}{1250000}}{-2.6319194266973248} ina he tango te ±.

$$x=\frac{125000000\sqrt{822474820842914}}{411237410421457}$$

Kua oti te whārite te whakatau.

$$x=-\frac{125000000\sqrt{822474820842914}}{411237410421457} x=\frac{125000000\sqrt{822474820842914}}{411237410421457}$$