The idea of matching method is: first, match the left X quadratic term and the first term into a perfect square term, and move the number to the right; Then the left and right sides simultaneously open the root sign (take the square root) to solve X.

For the quadratic function formula, there are three situations:

The equation is 1 and the quadratic coefficient is 1

2. Equation with quadratic coefficient not 1

3. The formula is (ax+b) completely flat.

Extended data

Solving equation: 2x? +6x+6=4

Analysis: the original equation can be arranged as: x? +3x+3=2, which can be obtained by the formula (x+ 1.5)? = 1.25 can be solved by finding the root.

Solution: 2x? +6x+6=4

& lt= & gt(x+ 1.5)？ = 1.25

X+1.5 = the square root of 65438 +0.25.

In the unary quadratic equation, the matching method is actually to shift the terms of the unary quadratic equation and add the square of half the absolute value of the coefficient of the first term to both sides of the equal sign.