Solving Simultaneous Linear and Quadratic Equations (VCE SSCE Mathematical Methods): Flashcards
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What does solving simultaneous equations find?
What does solving simultaneous equations find?
Where the graphs intersect
Possible intersection points: line & parabola
Possible intersection points: line & parabola
0, 1, or 2 points
Definition of tangent to parabola
Definition of tangent to parabola
Line that touches curve at exactly one point
Method for solving linear & quadratic together
Method for solving linear & quadratic together
Substitution method
Step 1 of substitution method
Step 1 of substitution method
Write both equations with as the subject
Step 2 of substitution method
Step 2 of substitution method
Set the two expressions equal and solve for
After finding -values in substitution method
After finding -values in substitution method
Substitute into either equation to find -values
What does (perfect square) indicate?
What does (perfect square) indicate?
One solution; the line is a tangent
What does one point of intersection mean?
What does one point of intersection mean?
The line is a tangent to the parabola
Final step of substitution method
Final step of substitution method
Write answer as coordinate points