Whakaoti i te 1/4y-3x^2=0

$$\frac { 1 } { 4 } y - 3 x ^ { 2 } = 0$$

Whakaoti mō y

$$y=12x^{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te 3x^{2} ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{1}{4}y=3x^{2}$$

Me whakarea ngā taha e rua ki te 4.

$$\frac{\frac{1}{4}y}{\frac{1}{4}}=\frac{3x^{2}}{\frac{1}{4}}$$

Mā te whakawehe ki te \frac{1}{4} ka wetekia te whakareanga ki te \frac{1}{4}.

$$y=\frac{3x^{2}}{\frac{1}{4}}$$

Whakawehe 3x^{2} ki te \frac{1}{4} mā te whakarea 3x^{2} ki te tau huripoki o \frac{1}{4}.

$$y=12x^{2}$$

Whakaoti mō x (complex solution)

$$x=-\frac{\sqrt{3y}}{6}$$

$$x=\frac{\sqrt{3y}}{6}$$

Whakaoti mō x

$$x=\frac{\sqrt{3y}}{6}$$

$$x=-\frac{\sqrt{3y}}{6}\text{, }y\geq 0$$