Quadratic Equations


   
 
Formation of quadratic equations from given roots and conditions
i) The quadratic equations whose roots are a and b is
 
 
where S = sum of roots and P = product of roots
 
ii) Quadratic equations with real coefficients, the complex roots always occur in conjugate pairs .
 
i.e., a + ib and a - ib
 
iii) Quadratic equations with rational coefficients the irrational roots always occur in conjugate pairs.
 
 
Examples:
 
Form the quadratic equation whose roots are given below
 
 
Suggested answer:
 
 
The quadratic equation is
 
 
 
 
 
Suggested answer:
 
The quadratic equation is
 
 
 
 
 
 
     
   
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