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sara_87
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Homework Statement
i want to make t the subject of any of the following equations inorder to find the cartesion equation. any ideas?:
x=t^2+t
y=t^2-t
Solve t for Parametric Equations: x=t^2+t, y=t^2-t
- Thread starter sara_87
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- Parametric
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SUMMARY
The discussion focuses on solving for the parameter \( t \) in the parametric equations \( x = t^2 + t \) and \( y = t^2 - t \). Participants suggest using algebraic manipulations and the quadratic formula to isolate \( t \). Specifically, it is established that \( x - y = 2t \) and \( x + y = 2t^2 \) can be utilized to derive \( t \). This approach leads to a clearer understanding of the relationship between \( x \), \( y \), and \( t \).
PREREQUISITES- Understanding of parametric equations
- Familiarity with the quadratic formula
- Basic algebraic manipulation skills
- Knowledge of isolating variables in equations
- Study the derivation of Cartesian equations from parametric equations
- Learn about the quadratic formula and its applications
- Explore algebraic techniques for manipulating equations
- Investigate the geometric interpretation of parametric equations
Students studying algebra, mathematics educators, and anyone interested in solving parametric equations and understanding their Cartesian counterparts.
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