The 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.

Extended data:

Rooting:

When solving fractional equation, irrational equation and logarithmic equation, it needs to be transformed into integral equation, and sometimes root increase will occur. Even if the original equation takes a meaningless unknown value, then this value is not the solution of the original equation.

Rootless:

The same is true for higher order equations with one variable. For example, the equation x 3 = 1 has 1 real roots and 2 imaginary roots. Sometimes there is no difference between the root and the solution of an equation, and an equation without a solution is also called rootless.

Root does not exist:

For multivariate equations, the solution of the equation cannot be said to be the root of the equation. At this time, the solution is different from the root cause. Because such an equation has no concept of root.

References:

Baidu encyclopedia -root