Increasing root refers to the root that does not meet the setting conditions of the problem after solving the equation. Equations with multiple solutions, such as univariate quadratic equations and fractional equations, may have increased roots under certain conditions.

In the process of transforming fractional equation into integral equation, the condition for solving fractional equation is that the denominator of the original equation is not zero. If the root of the whole equation makes the simplest common denominator 0 (the root makes the whole equation hold, and the denominator in the fractional equation is 0), then this root is called the root of the original fractional equation.

Solve the equation with extended data and write a checking program;

1. Substitute the unknown value into the original equation.

2. What is left equal to? Is it right?

3. Judge whether the unknown value is the solution of the equation.

For example: 4.6x=23

Solution: x=23÷4.6

x=5

Check:

Substituting x = 5 into the equation, we get:

Left =4.6×5

=23= Right

So x=5 is the solution of the original equation.