Quadratic Equations Tutorial?

Quadratic equation is written in the following form:





ax^2 + bx + c = 0





a is the coefficient of x^2 and b is the coefficient of x. c is the constant.





Quadratic equations always have at least 1 root, either real or imaginary.





Roots are possible values of x.





Ways to Solve a Quadratic Equation:





Pretend we have x^2 + 4x - 5





1 = a, b = 4 , c = -5





b = -(sum of roots)





c = product of roots





It's complicated to think about so I'll tell you exactly what to do.





x^2 + 4x - 5 = 0





Find 2 values that multiply to -5 and add up to 4.





With some practice, you can say that 5 and -1 are the numbers.





So then you place the following down:





(x+5)(x-1) = 0





Tha'ts exactly how you factor.





x = -5 or 1





If you didn't want to think you need some memory.





The quadratic formula for finding the roots is:





[ -b +/- sqrt(b^2-4ac) ] / 2a





+/- is plus or minus. When you add you get 1 root and when you subtract you get another root.





To be continued...

Quadratic Equations Tutorial?
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