Quadratic Equations

Quadratic equations

The word quadratic is derived from the Latin word quadratus which means square,

  • The quadratic equation is generally represented as.  ax²+bx+c=0 where a≠0 and a,b,c are constants, x is variable (unknown).
  • Discriminant of the quadratic equation is (D) equals b²-4ac 
  • If the value b²-4ac>0 then the roots are real and distinct.
  • If b²-4ac=0 then roots are real and equal.
  • If b²-4ac<0 then roots are imaginary roots.
let the roots of the quadratic equation be  α and β
Then the relation between α and β  is:
α+β = -b/a
αβ =  c/a
If the roots are given then the equation is
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