The answer is given. It is equal to $y = x \sqrt{2}$ and $y = -x \sqrt{2}$. Can you help me solve it?
2026-03-27 14:52:47.1774623167
Find the equations of two lines through the origin that are tangent to the ellipse equation: $2 {x^2} - 4 x + {y^2} + 1 = 0$
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Hint
The equation any straight line passing through the origin is $$y=mx$$
Replace $y$ as $mx$ in the given equation of ellipse to form a quadratic equation in $x$
For tangency, the roots must be same