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 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...)
<h2> Solving Quadratic Equations</h2> <p> monomial,problem solving,math,algebra,math help,video,quizzes,practice questions,amsco,integrated,algebra1</p> <p> explains what is quadratic equation and how to solve them.</p>
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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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