Amsco Integrated Algebra I: Solving Quadratic Equations
 This is a free lesson from our course in Amsco's Integrated Algebra

 This lesson explains the basics of quadratic equations and how to solve them. A Quadratic is a polynomial whose highest exponent is 2. The standard form of a quadratic equation is ax² + bx + c = 0. A quadratic has always two roots. You’ll also learn how the technique called completing the square can be applied to solving the quadratic equations. It follows the explanation of quadratic formula -- which is proved by completing the square. Then it covers about theorem: If ax² + bx + c = 0, then Added to this, you will learn about the discriminant i.e. the radicand b² − 4ac. If the discriminant is: • Positive: the roots are real and conjugate • Negative: the roots are complex and conjugate • Zero: the roots are rational and equal -- i.e. a double root. (More text below video...)
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 (Continued from above) To solve the standard form of quadratic equation, say ax2+bx+c = 0, the steps are as follows: • transform the equation in standard form • factorize • set each factor containing variable equal to zero • solve each of the resulting equations • check by substituting each value of the variable in the original equation For example: x²-3x+2=0 (x-2)(x-1)=0 x-2=0,x-1=0 x=2,x=1 Putting x=2,(2)2-3(2)+2=0 4-6+2=0 0=0

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