Quadratic Eq. & Ex.

Quadratic Eq. & Ex.

1. Equation: ax^2+bx+c =y

2. Expression= ax^2+bx+c

3. Function=f(x)=ax^2+bx+c

4. Finding roots or range of Equation/Expression

   • Completing Square
     • divide the coefficient of x by 2
     • square the whole thing eg. (2/2)=1 so, (x+1)^2
     • subtract the number you gt and put in c from the original equation
   • Cross-Multiplication
     • Factorization
   • General Formulae

5. x>0= 2 distinct roots. so, curve touches two points on x-axis

6. x=0, equal roots. so, curve touches only one point on the x-axis

7. x<0, no real roots. so, curve will not touch the x-axis

8. Quadratic Inequalities

Images and files in the map