Whakaoti mō y (complex solution)
y=6\sqrt{2}x^{-\frac{1}{2}}
x\neq 0
Whakaoti mō x
x=\frac{72}{y^{2}}
y>0
Whakaoti mō y
y=6\sqrt{\frac{2}{x}}
x>0
Whakaoti mō x (complex solution)
x=\frac{72}{y^{2}}
arg(\sqrt{\frac{1}{y^{2}}}y)<\pi \text{ and }y\neq 0
Graph
Pātaitai
Algebra
y \sqrt{ 2x } =12
Tohaina
Kua tāruatia ki te papatopenga
\sqrt{2x}y=12
He hanga arowhānui tō te whārite.
\frac{\sqrt{2x}y}{\sqrt{2x}}=\frac{12}{\sqrt{2x}}
Whakawehea ngā taha e rua ki te \sqrt{2x}.
y=\frac{12}{\sqrt{2x}}
Mā te whakawehe ki te \sqrt{2x} ka wetekia te whakareanga ki te \sqrt{2x}.
y=12\times \left(2x\right)^{-\frac{1}{2}}
Whakawehe 12 ki te \sqrt{2x}.
\frac{y\sqrt{2x}}{y}=\frac{12}{y}
Whakawehea ngā taha e rua ki te y.
\sqrt{2x}=\frac{12}{y}
Mā te whakawehe ki te y ka wetekia te whakareanga ki te y.
2x=\frac{144}{y^{2}}
Pūruatia ngā taha e rua o te whārite.
\frac{2x}{2}=\frac{144}{2y^{2}}
Whakawehea ngā taha e rua ki te 2.
x=\frac{144}{2y^{2}}
Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.
x=\frac{72}{y^{2}}
Whakawehe \frac{144}{y^{2}} ki te 2.
\sqrt{2x}y=12
He hanga arowhānui tō te whārite.
\frac{\sqrt{2x}y}{\sqrt{2x}}=\frac{12}{\sqrt{2x}}
Whakawehea ngā taha e rua ki te \sqrt{2x}.
y=\frac{12}{\sqrt{2x}}
Mā te whakawehe ki te \sqrt{2x} ka wetekia te whakareanga ki te \sqrt{2x}.
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