Question

Algorithm to find roots of quadratic equation for real and imaginary roots

Answer 1

b^2 -4ac < 0  (the root are imaginary i.e NO REAL ROOTS)

b^2-4ac > 0 (the roots are real and distinct)

we find roots of quadratic equation by three methods

1. Factorising a QE by splitting its middle term
2. completing the square method
3. Quadratic Formula

EX : 12x^2+13x+3=0

       12x^2+9x+4x+3=0

        3x(4x+3) + 1(4x+3)=0

         (4x+3) (3x+1)=0

          4x=-3 or 3x=-1

           x=-3/4  or  x=-1/3

            these are the roots of the QE 12x^2+13x+3

       

Answer 2

b^2 -4ac < 0  (the root are imaginary i.e NO REAL ROOTS)

b^2-4ac > 0 (the roots are real and distinct)

we find roots of quadratic equation by three methods

Factorising a QE by splitting its middle term

completing the square method

Quadratic Formula

EX : 12x^2+13x+3=0

      12x^2+9x+4x+3=0

       3x(4x+3) + 1(4x+3)=0

        (4x+3) (3x+1)=0

         4x=-3 or 3x=-1

          x=-3/4  or  x=-1/3

           these are the roots of the QE 12x^2+13x+3