When the equation is deformed,

sometimes

maybe

produce

unsuited

primitive equation

root

This root is called the original equation.

Zenggen

2. The source of root growth:

(1) fractional equation

(2) Irrational equation

An introduction to increasing roots of the trinomial equation;

In the process of transforming fractional equation into integral equation, if the integral equation

root

Let the simplest common denominator be 0, then this root is called the original fractional equation.

X-2

16

X+2

——

-

——

=

——

X+2

X^2-4

X-2

Solution:

(X-2)^2- 16=(X+2)^2

X^2-4X+4- 16=X^2+4X+4

X^2-4X-X^2-4X=4+ 16-4

-8X= 16

X=-2

But X=-2 makes X+2 and x 2-4 equal to 0, so X=-2 is the incremental root.

When both sides of the fractional equation are multiplied by the simplest common denominator, if the value of the fractional equation is not 0, the solution is the solution of the time-sharing equation, and if the value of the simplest common denominator is 0, the solution is the root increase.

For example:

Set an equation

A(x)=0

Is (x)=0

The root cause, for example

x=a

Is the root of the equation; If x=b

Is the equation B(x)=0.

But not A(x)=0.

The root of x = B.

Is the equation B(x)=0.

The root of.

How to seek the growth of roots

When solving fractional equations, what roots are often caused by carelessness when violating the same solution principle of equations or deformation equations.

1.

If you don't follow the same solution principle, even if you solve the integral equation, you may increase the roots. For example, multiplying both sides of the equation x-2 = 0 by x becomes the simplest common denominator of the multiplication of both sides of the equation.

Send bits and pieces of local area over and over again to see if it is 0, and if it is 0, it is root growth.

Hope to adopt!