There are four solutions to the quadratic equation of one variable. They are direct Kaiping method, collocation method, formula method and factorization method. The quadratic equation of one variable can be transformed into the general form ax? +bx+c=0(a≠0), where ax It is called quadratic term and a is the coefficient of quadratic term; Bx is called a linear term, and b is the coefficient of the linear term; C is called a constant term.

An integral equation that contains only one unknown (unary) and the highest order of the unknown is 2 (quadratic) is called unary quadratic equation. There are four solutions, namely direct Kaiping method, collocation method, formula method and factorization method. The quadratic equation of one variable can be transformed into the general form ax? +bx+c=0(a≠0), where ax It is called quadratic term and a is the coefficient of quadratic term; Bx is called a linear term, and b is the coefficient of the linear term; C is called a constant term.

Direct leveling method. Example: Solve equation (3x+1) 2 = 7; (3x+ 1)2 = 7； (3x+ 1)2 = 7； 3x+ 1 = √ 7 (be careful not to lose symbols); x=﹙﹣ 1 √7﹚/3。 Matching method. Example: Solving Equation X by Matching Method? +4x-8=0, move the constant term to the right of Equation X? +4x = 8； On both sides of the equation, add half the square of the first coefficient: x? +4x+4 = 8+4； Formula: (x+2) 2 =12; Direct square: x+2 = √12; x=-2 √ 12 .