Simultaneous Equations (AQA A-Level Mathematics): Flashcards
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10 cards from this deck
What defines quadratic simultaneous equations?
What defines quadratic simultaneous equations?
At least one equation is quadratic
Primary method for solving quadratic simultaneous equations
Primary method for solving quadratic simultaneous equations
Substitution
First step in solving quadratic simultaneous equations
First step in solving quadratic simultaneous equations
Substitute the linear equation into the quadratic
After substitution, what is the next step?
After substitution, what is the next step?
Rearrange to set the equation to zero
Methods to solve the resulting quadratic equation
Methods to solve the resulting quadratic equation
Quadratic formula or factorization
What does a negative discriminant () indicate?
What does a negative discriminant () indicate?
Complex solutions (no real intersection)
What do real solutions represent geometrically?
What do real solutions represent geometrically?
Curves intersect on the real plane
What do complex solutions indicate geometrically?
What do complex solutions indicate geometrically?
Curves don't intersect on the real plane
After finding values, what is the final step?
After finding values, what is the final step?
Find corresponding values using the linear equation
What do the solutions represent geometrically?
What do the solutions represent geometrically?
Intersection points of the curves