E.MATH CHAP 2: MORE ABT QUADRATIC EQ completed:

E.MATH CHAP 2: MORE ABT QUADRATIC EQ completed:

1. 2.1: FACTORISATION METHOD

2. 2.2: GRAPHICAL METHOD:

3. 2.3: COMPLETING THE SQ METHOD

   • process of adding of 1 term to x^2 + bx to make it a PERFECT SQ to solve the quadratic eq
   • THE 2 EQUATIONS:
     • general eq: [x^2 +bx + ( b/2)^2] = [(x + (b/2)^2]
     • general eq (x^2 - bx + c) = {[x + (b/2)]^2 - (b/2)^2 }
   • SOLVING A QUADRATIC EQ BY COMPLETING THE SQ:
     • (x + h)^2 = k
       • x = +-(sq root k) -h

4. 2.4: QUADRATIC FORMULA:

   • roots of ax^2 + bx + c = x = [(-b +- sq root b^2 -4ac) / 2a]

5. 2.5: FRACTIONAL EQ:

   • when eq contains unknown in denominator of 1 / more of its fractional expressions

6. 2.6: PROBLEMS INVOLVING QUADRATIC EQ:

   • steps:
     • 1) read the problem carefully
     • 2) let x be the unknown quantity
     • 3) express some other quantity in terms of x
     • 4) set up eq of x using the given info
     • 5) solve the eq
     • 6) check the solutions

7. 2.7: SKETCHING GRAPHS OF QUADRATIC FUNCTIONS:

   • pictures from pg 65-71