Whakaoti i te 4+144+32-120+72+lambdaleft(74+4-96right)=0

$$4+144+32-120+72+ \lambda \left( 74+4-96 \right) =0$$

Whakaoti mō λ

$$\lambda =\frac{22}{3}\approx 7.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tāpirihia te 4 ki te 144, ka 148.

$$148+32-120+72+\lambda \left(74+4-96\right)=0$$

Tāpirihia te 148 ki te 32, ka 180.

$$180-120+72+\lambda \left(74+4-96\right)=0$$

Tangohia te 120 i te 180, ka 60.

$$60+72+\lambda \left(74+4-96\right)=0$$

Tāpirihia te 60 ki te 72, ka 132.

$$132+\lambda \left(74+4-96\right)=0$$

Tāpirihia te 74 ki te 4, ka 78.

$$132+\lambda \left(78-96\right)=0$$

Tangohia te 96 i te 78, ka -18.

$$132+\lambda \left(-18\right)=0$$

Tangohia te 132 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$\lambda \left(-18\right)=-132$$

Whakawehea ngā taha e rua ki te -18.

$$\lambda =\frac{-132}{-18}$$

Whakahekea te hautanga \frac{-132}{-18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -6.

$$\lambda =\frac{22}{3}$$