The so-called root of the equation is the value of the unknown that makes the left and right sides of the equation equal. The root and solution of a quadratic equation are different. The root can be multiple, but the solution must be different. If a quadratic equation has two different roots, it is also called two different solutions.

The so-called solution and root of the equation are the unknown values that make the left and right sides of the equation equal.

In the unary equation, the solution of the equation may be limited by some practical conditions. For example, a function about the application problem of how many parts are produced every day conforms to x 2-10x-24 = 0. The roots of this equation are x= 12 and x2=-2. Although x=-2 meets the condition of the root of the equation, considering the practical application, the production of parts can not be.

Extended data:

The basis of solving equations

1. Move terms and symbols: move some terms in the equation from one side to the other with the previous symbols, and add, subtract, multiply and divide with the variation;

2. The basic properties of the equation:

Adding (or subtracting) the same number or the same algebraic expression on both sides of the (1) equation at the same time, the result is still an equation. Represented by letters: if a=b, c is a number or an algebraic expression.

(2) Both sides of the equation are multiplied or divided by the same number that is not 0 at the same time, and the result is still an equation. Represented by letters: if a=b, c is a number or an algebraic expression (not 0).