lesson 7 creating and solving quadratic equations

#Lesson 7 creating and solving quadratic equations code#

Transform the equation ax^2 + bx + c = 0 (1) into a simplified equation with a = 1 and with C = a*c. When both roots are negative, compose factor pairs of c with all negative numbers.Įxample 3. When both roots are positive, compose factor pairs of c with all positive numbers.Įxample 2. When roots have different signs, compose factor pairs of c with all first number being negative.Įxample 1. If you can't find this pair, then the equation can't be factored, and you should probably use the quadratic formula to solve it. This method proceeds by composing the factor pairs of c, following these 3 below Tips, and finds the pair that equals to (b), or b. Solving results in finding 2 numbers knowing the sum (-b) and the product (c). When a = 1, this method can immediately obtain the 2 real roots without factoring and solving binomials. THE DIAGONAL SUM METHOD TO SOLVE EQUATION TYPE x^2 + bx + c = 0, with a = 1. When a and b have same sign, both roots are negative.

When a and b have different signs, both roots are positive.Ģ. If a and c have same signs, roots have same sign.ġ. If a and c have different signs, roots have different signs.ī. The transformation of a quadratic equation in standard form into the simplified form, with a = 1.Ī. The Diagonal Sum Method to solve quadratic equation type x^2 + bx + c =, when a = 1. The Rule of Signs for Real Roots of a quadratic equation It uses 3 features in its solving process. Its strong points are: simple, fast, systematic, no guessing, no factoring by grouping and no solving binomials.

This new method is may be the simplest and fastest method to solve quadratic equations in standard form ax^2 + bx + c = 0 that can be factored. SOLVING QUADRATIC EQUATIONS BY THE NEW TRANSFORMING METHOD.

#Lesson 7 creating and solving quadratic equations code#

Source code of 'Solving quadratic equations by the new 'Transforming Method'' This Lesson (Solving quadratic equations by the new 'Transforming Method') was created by by tam144(6) : View Source, Show