1. transformation: transform this unary quadratic equation into the form of ax 2+bx+c = 0 (that is, the general form of unary quadratic equation) into the general form. 2. Move the term: move the constant term to the right of the equation. 3. Coefficient 1: convert the quadratic term into 1. 4. Formula: Add it to both sides of the equal sign at the same time. Algebraic expression of the root of the original equation: Note (2 stands for square. ) ax 2+bx+c = a (x+b/2a) 2+(4ac-b2)/4a = a [(x+m) 2-n2] = a (example x: solving equation 2x 2+4 = 6x1 .2x 2-6x+4 = 02.x2-3x+2 = 03.x2-3x = -24.x2-3x+2.25 = 0.25 (+2.25:) At the same time,-2 should be equal to (x-1.5) 2 = 0. X-65438+。

Editing skills of quadratic function collocation in this paragraph

An important item in y = ax&sup is often used to solve equations, inequalities and functions. Let's explain it in detail: first, it is clear that the collocation method is to put two numbers (or algebraic expressions, but these two must be flat). Write in the form of (a+b) square or (a-b) square: expand (a+b) square into (a+b) 2 = a 2+2ab+b 2. Therefore, to match the form of (a+b), a 2, 2ab and b 2 must be selected. For example, the original formula is a 2+b 2 solution: A2+B2 = A2+B2+2ab-2ab = (A2+B2+2ab)-2ab = (A+B) 2-2ab. Another example is that the original formula is a 2+2b 2 solution: A2+2b2 = A2+B2+2ab-2ab.