Whakaoti i te 22/7left(2^2h-15^2hright)=99

$$\frac{ 22 }{ 7 } \left( { 2 }^{ 2 } h- { 15 }^{ 2 } h \right) = 99$$

Whakaoti mō h

$$h=-\frac{63}{442}\approx -0.142533937$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te \frac{7}{22}, te tau utu o \frac{22}{7}.

$$2^{2}h-15^{2}h=99\times \frac{7}{22}$$

Tuhia te 99\times \frac{7}{22} hei hautanga kotahi.

$$2^{2}h-15^{2}h=\frac{99\times 7}{22}$$

Whakareatia te 99 ki te 7, ka 693.

$$2^{2}h-15^{2}h=\frac{693}{22}$$

Whakahekea te hautanga \frac{693}{22} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$2^{2}h-15^{2}h=\frac{63}{2}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4h-15^{2}h=\frac{63}{2}$$

Tātaihia te 15 mā te pū o 2, kia riro ko 225.

$$4h-225h=\frac{63}{2}$$

Pahekotia te 4h me -225h, ka -221h.

$$-221h=\frac{63}{2}$$

Whakawehea ngā taha e rua ki te -221.

$$h=\frac{\frac{63}{2}}{-221}$$

Tuhia te \frac{\frac{63}{2}}{-221} hei hautanga kotahi.

$$h=\frac{63}{2\left(-221\right)}$$

Whakareatia te 2 ki te -221, ka -442.

$$h=\frac{63}{-442}$$

Ka taea te hautanga \frac{63}{-442} te tuhi anō ko -\frac{63}{442} mā te tango i te tohu tōraro.

$$h=-\frac{63}{442}$$