How To Solve Simultaneous Equations One Linear And One Quadratic - Step by step guide

1.How To Solve Simultaneous Equations One Linear And One Quadratic - Step by step guide
In this video, we will learn how to solve simultaneous equations where one equation is linear and the other is quadratic. These equations represent a straight line and a parabola, and solving them helps us find their points of intersection.
Steps to Solve:
1. Substitution method - Express one variable in terms of the other using the linear equation and substitute it into the quadratic equation.
2. Solve the quadratic equation - Use factorization, the quadratic formula, or completing the square.
3. Find the second variable - Once you get the values of one variable, substitute them back into the linear equation to find the second variable.
4. Verify the solutions - Check your answers by substituting them into both original equations.
This method is useful in algebra, coordinate geometry, and real-life applications such as physics and economics.
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