Matching method: Match the quadratic equation of one variable in the form of (x+m) 2 = n, and then solve it by direct Kaiping method.

(1) transforms the original equation into a general form;

② Divide both sides of the equation by the quadratic term coefficient, so that the quadratic term coefficient is 1, and move the constant term to the right of the equation;

③ Add half the square of the coefficient of the first term on both sides of the equation;

④ The left side is matched into a completely flat mode, and the right side is matched into a constant;

⑤ Further use the direct Kaiping method to find the solution of the equation. If the right side is nonnegative, the equation has two real roots. If the right side is negative, then the equation has a pair of imaginary roots of yoke.

Extended data:

The establishment of a quadratic equation with one variable must meet three conditions at the same time:

(1) is the whole equation, that is, both sides of the equal sign are algebraic expressions, if there is a denominator in the equation; And the unknown is on the denominator, then this equation is a fractional equation, not a quadratic equation. If there is a root sign in the equation and the unknown is within the root sign, then the equation is not a quadratic equation (it is an irrational number equation).

(2) contains only one unknown number;

③ The maximum number of unknowns is 2.

Baidu Encyclopedia-One-variable Quadratic Equation