This method converts the polynomial in the following form into coefficients A, B, C, D and E in the above expression, which can also be expressions and contain variables other than X. ..
Examples are as follows:
2x? +8x+5=2(x? +4x)+5
=2(x? +4x+2? )+5-8
=2(x+2)? -3
Extended data
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.
Example-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.