Whakaoti i te 2(3/4)^2-4(3/4)-10

$$2 ( \frac { 3 } { 4 } ) ^ { 2 } - 4 ( \frac { 3 } { 4 } ) - 10$$

Aromātai

$$-\frac{95}{8}=-11.875$$

Ngā Upane Otinga

Tātaihia te \frac{3}{4} mā te pū o 2, kia riro ko \frac{9}{16}.

$$2\times \frac{9}{16}-4\times \frac{3}{4}-10$$

Tuhia te 2\times \frac{9}{16} hei hautanga kotahi.

$$\frac{2\times 9}{16}-4\times \frac{3}{4}-10$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{18}{16}-4\times \frac{3}{4}-10$$

Whakahekea te hautanga \frac{18}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{9}{8}-4\times \frac{3}{4}-10$$

Me whakakore te 4 me te 4.

$$\frac{9}{8}-3-10$$

Me tahuri te 3 ki te hautau \frac{24}{8}.

$$\frac{9}{8}-\frac{24}{8}-10$$

Tā te mea he rite te tauraro o \frac{9}{8} me \frac{24}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-24}{8}-10$$

Tangohia te 24 i te 9, ka -15.

$$-\frac{15}{8}-10$$

Me tahuri te 10 ki te hautau \frac{80}{8}.

$$-\frac{15}{8}-\frac{80}{8}$$

Tā te mea he rite te tauraro o -\frac{15}{8} me \frac{80}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-15-80}{8}$$

Tangohia te 80 i te -15, ka -95.

$$-\frac{95}{8}$$

Tauwehe

$$-\frac{95}{8} = -11\frac{7}{8} = -11.875$$