Quadratic Simultaneous Equations (AQA A-Level Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What defines quadratic simultaneous equations?
What defines quadratic simultaneous equations?
At least one equation is quadratic
What is the primary method for solving quadratic simultaneous equations?
What is the primary method for solving quadratic simultaneous equations?
Substitution
What is the first step when solving with one linear and one quadratic equation?
What is the first step when solving with one linear and one quadratic equation?
Substitute linear into quadratic
After substitution, what must be done to form a quadratic equation?
After substitution, what must be done to form a quadratic equation?
Rearrange to equal zero
If the discriminant is negative, what type of solutions result?
If the discriminant is negative, what type of solutions result?
Complex solutions
What do real solutions represent for quadratic simultaneous equations?
What do real solutions represent for quadratic simultaneous equations?
Intersection points of curves
If solutions are complex, what does this mean geometrically?
If solutions are complex, what does this mean geometrically?
Curves don't intersect on real plane
After finding values, where should they be substituted to find ?
After finding values, where should they be substituted to find ?
Into the linear equation
Which methods can solve the quadratic equation formed?
Which methods can solve the quadratic equation formed?
Quadratic formula or factorisation
How are final solutions to quadratic simultaneous equations presented?
How are final solutions to quadratic simultaneous equations presented?
As coordinate pairs