Whakaoti i te 4(8x-1)^2=49

$$4 ( 8 x - 1 ) ^ { 2 } = 49$$

Whakaoti mō x

$$x=\frac{9}{16}=0.5625$$

$$x=-\frac{5}{16}=-0.3125$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 4.

$$\frac{4\left(8x-1\right)^{2}}{4}=\frac{49}{4}$$

Mā te whakawehe ki te 4 ka wetekia te whakareanga ki te 4.

$$\left(8x-1\right)^{2}=\frac{49}{4}$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$8x-1=\frac{7}{2} 8x-1=-\frac{7}{2}$$

Me tāpiri 1 ki ngā taha e rua o te whārite.

$$8x-1-\left(-1\right)=\frac{7}{2}-\left(-1\right) 8x-1-\left(-1\right)=-\frac{7}{2}-\left(-1\right)$$

Mā te tango i te -1 i a ia ake anō ka toe ko te 0.

$$8x=\frac{7}{2}-\left(-1\right) 8x=-\frac{7}{2}-\left(-1\right)$$

Tango -1 mai i \frac{7}{2}.

$$8x=\frac{9}{2}$$

Tango -1 mai i -\frac{7}{2}.

$$8x=-\frac{5}{2}$$

Whakawehea ngā taha e rua ki te 8.

$$\frac{8x}{8}=\frac{\frac{9}{2}}{8} \frac{8x}{8}=-\frac{\frac{5}{2}}{8}$$

Mā te whakawehe ki te 8 ka wetekia te whakareanga ki te 8.

$$x=\frac{\frac{9}{2}}{8} x=-\frac{\frac{5}{2}}{8}$$

Whakawehe \frac{9}{2} ki te 8.

$$x=\frac{9}{16}$$

Whakawehe -\frac{5}{2} ki te 8.

$$x=-\frac{5}{16}$$

Kua oti te whārite te whakatau.

$$x=\frac{9}{16} x=-\frac{5}{16}$$