Whakaoti i te 16(3-a)^2=9

$$16 ( 3 - a ) ^ { 2 } = 9$$

Whakaoti mō a

$$a = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

$$a = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 16.

$$\frac{16\left(-a+3\right)^{2}}{16}=\frac{9}{16}$$

Mā te whakawehe ki te 16 ka wetekia te whakareanga ki te 16.

$$\left(-a+3\right)^{2}=\frac{9}{16}$$

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

$$-a+3=\frac{3}{4} -a+3=-\frac{3}{4}$$

Me tango 3 mai i ngā taha e rua o te whārite.

$$-a+3-3=\frac{3}{4}-3 -a+3-3=-\frac{3}{4}-3$$

Mā te tango i te 3 i a ia ake anō ka toe ko te 0.

$$-a=\frac{3}{4}-3 -a=-\frac{3}{4}-3$$

Tango 3 mai i \frac{3}{4}.

$$-a=-\frac{9}{4}$$

Tango 3 mai i -\frac{3}{4}.

$$-a=-\frac{15}{4}$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-a}{-1}=-\frac{\frac{9}{4}}{-1} \frac{-a}{-1}=-\frac{\frac{15}{4}}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$a=-\frac{\frac{9}{4}}{-1} a=-\frac{\frac{15}{4}}{-1}$$

Whakawehe -\frac{9}{4} ki te -1.

$$a=\frac{9}{4}$$

Whakawehe -\frac{15}{4} ki te -1.

$$a=\frac{15}{4}$$

Kua oti te whārite te whakatau.

$$a=\frac{9}{4} a=\frac{15}{4}$$