Determine the Equation of the Conic $x ^ { 2 } - 2 x = y ^ { 2 }$

question 91

Essay

Determine the equation of the conic $x ^ { 2 } - 2 x = y ^ { 2 }$ in $X Y$ - coordinates if the axes are rotated through an angle $\phi = 45 ^ { \circ }$ .

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Definitions:

Remarriages

The act of marrying again after a divorce or the death of one's spouse, often with implications for family dynamics and legal statutes.

First Marriages

The initial legally or socially sanctioned union between two individuals as spouses.

Stable

Characterized by consistency, reliability, and a lack of significant change or volatility over time.

Normative Life Events

In the timing-of-events model, commonly expected life experiences that occur at customary times.