Whakaoti i te sqrt{2x-5/10}=10

$$\sqrt { \frac { 2 x - 5 } { 10 } } = 10$$

Whakaoti mō x

$$x = \frac{1005}{2} = 502\frac{1}{2} = 502.5$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakawehea ia wā o 2x-5 ki te 10, kia riro ko \frac{1}{5}x-\frac{1}{2}.

$$\sqrt{\frac{1}{5}x-\frac{1}{2}}=10$$

Pūruatia ngā taha e rua o te whārite.

$$\frac{1}{5}x-\frac{1}{2}=100$$

Me tāpiri \frac{1}{2} ki ngā taha e rua o te whārite.

$$\frac{1}{5}x-\frac{1}{2}-\left(-\frac{1}{2}\right)=100-\left(-\frac{1}{2}\right)$$

Mā te tango i te -\frac{1}{2} i a ia ake anō ka toe ko te 0.

$$\frac{1}{5}x=100-\left(-\frac{1}{2}\right)$$

Tango -\frac{1}{2} mai i 100.

$$\frac{1}{5}x=\frac{201}{2}$$

Me whakarea ngā taha e rua ki te 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{\frac{201}{2}}{\frac{1}{5}}$$

Mā te whakawehe ki te \frac{1}{5} ka wetekia te whakareanga ki te \frac{1}{5}.

$$x=\frac{\frac{201}{2}}{\frac{1}{5}}$$

Whakawehe \frac{201}{2} ki te \frac{1}{5} mā te whakarea \frac{201}{2} ki te tau huripoki o \frac{1}{5}.

$$x=\frac{1005}{2}$$