Whakaoti i te (320^2-160^2)*1/160geq11/4

$$( 320 ^ { 2 } - 160 ^ { 2 } ) \times \frac { 1 } { 160 } \geq 1 \frac { 1 } { 4 }$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 160, arā, te tauraro pātahi he tino iti rawa te kitea o 160,4. I te mea he tōrunga te 160, kāore e huri te ahunga koreōrite.

$$160\left(320^{2}-160^{2}\right)\times \frac{1}{160}\geq 40\left(1\times 4+1\right)$$

Tātaihia te 320 mā te pū o 2, kia riro ko 102400.

$$160\left(102400-160^{2}\right)\times \frac{1}{160}\geq 40\left(1\times 4+1\right)$$

Tātaihia te 160 mā te pū o 2, kia riro ko 25600.

$$160\left(102400-25600\right)\times \frac{1}{160}\geq 40\left(1\times 4+1\right)$$

Tangohia te 25600 i te 102400, ka 76800.

$$160\times 76800\times \frac{1}{160}\geq 40\left(1\times 4+1\right)$$

Whakareatia te 160 ki te 76800, ka 12288000.

$$12288000\times \frac{1}{160}\geq 40\left(1\times 4+1\right)$$

Whakareatia te 12288000 ki te \frac{1}{160}, ka \frac{12288000}{160}.

$$\frac{12288000}{160}\geq 40\left(1\times 4+1\right)$$

Whakawehea te 12288000 ki te 160, kia riro ko 76800.

$$76800\geq 40\left(1\times 4+1\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$76800\geq 40\left(4+1\right)$$

Tāpirihia te 4 ki te 1, ka 5.

$$76800\geq 40\times 5$$

Whakareatia te 40 ki te 5, ka 200.

$$76800\geq 200$$

Whakatauritea te 76800 me te 200.

$$\text{true}$$