Fractional equations and radical equations to be learned later may generate roots.

The reason why the fractional equation adds roots is that the denominator is 0.

The reason why roots are added to the root equation is that the number under even roots such as quadratic roots and quartic roots is less than 0.

They all make the equation unsolvable.

However, no solution does not mean increasing roots, and conversely, increasing roots does not mean no solution.

In the future, you will learn to solve quadratic equations with one variable. An unary quadratic equation may have two roots. If the fractional equation is transformed into an unary quadratic equation, two unequal roots are found. If at least one of them makes the denominator zero, then this root is an increasing root, but if there is a root that makes the denominator not zero, then the original equation is solvable.

On the other hand, if certain conditions are met, the unary quadratic equation has no solution, but this does not mean that there is an increasing root, that is, the real number can not be found at all, which makes the equation hold, so it is impossible to judge whether a certain number is an increasing root.

However, at this stage, these two concepts are still relatively consistent.