What is the general method to construct a quadratic equation given the roots.
1 Answer | Add Yours
A quadratic equation has two roots. Take the roots of the equation that has to be constructed as `x_1` and `x_2` . The quadratic equation is `(x - x_1)(x - x_2) = 0`
=> `x^2 - x_1*x + x_2*x + x_1*x_2 = 0`
=> `x^2 - (x_1 + x_2)*x + x_1*x_2 = 0`
The general form of a quadratic equation with roots `x_1` and `x_2` is `x^2 - (x_1 + x_2)*x + x_1*x_2 = 0`
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes