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.
How to solve non-linear simultaneous equations?
Algebra. Non-linear Simultaneous Equations If we have simultaneous equations where one equation is quadratic and the other is linear, we will need to use the substitution method to solve them, rearranging the linear equation so that we can substitute it into the quadratic equation. We then just solve the quadratic equation as normal.
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.
What is the difference between linear and quadratic equations?
A linear equation does not contain any powers higher than 1. 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.