Simple quadratic equation

Topic: Quadratic Equation


An equation of the form ax²+bx+c=0 where a, b, c are real numbers and a =/ 0, is called a quadratic equation.

Question:

Solve: x2 - y = 3, x - y = -3

Answer:

   x2 - y = 3, x - y = -3

   x2 - y = 3

    x  - y = -3

    + y + y
    __________
    x = y - 3

  Putting this in the first equation

  (y -3)x2 - y = 3

 y2 - 6x + 9 - = 3

 y2 - 6x + 9 - y = 3

 y2 - 7y + 9 = 3

        -3    -3
        ____________

Factoring (y - 6) (y -1) = 0

         y = 6 on 1

         x = y - 3 = 6 - 3 = 3

         x = 1 - 3 = - 2

  The solution set is : {(-2,1) , (3,6)}