quadratic simultaneous equations questions and answers pdf


What are quadratic simultaneous equations?

    Quadratic simultaneous equations are pairs of equations where one is one quadratic and one linear. To solve quadratic simultaneous equations we can use the elimination method in a similar way to solving linear simultaneous equations.

What is an example of a quadratic equation?

    A quadratic equation contains a variable that's highest power is 2. For example: Algebraic skills of substitution and factorising are required to solve these equations. When solving simultaneous equations with a linear and quadratic equation, there will usually be two pairs of answers.

Why does a quadratic equation have two valid answers?

    This is because of the way the graphs of linear and quadratic or other non-linear functions can intersect. On the graph below we can see the straight line of the linear equation has crossed the curved parabola of the quadratic equation at two points of intersection. This means the simultaneous equations have two valid answers.

Can We have simultaneous equations with different types of equations?

    We can have simultaneous equations with one linear and one quadratic equations. The method for solving these types of equations, differs slightly from the one we use to solve simple simultaneous equations.
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