Reducible equation to quadratic form

Maths, Maths and only Maths

1. EQUATION REDUCIBLE TO QUADRATIC FORM PRESENTED BY: Mahrukh Shehzadi

2. REDUCIBLE EQUATIONS . There are some types of equations, which under some proper substitution cab be reduced into quadratic form or equation . Example: In this method we have to reduce some equations into quadratic form and then we will find the value of x. Let us understand this with the help of a simple example:

3. Let us suppose this example: Putting Thus, By putting quadratic formula:      

4. Putting : Solution set:  

5. Type (1) The equation of the types:   Example: Replacing Let us suppose this example: 2  

6. Putting Thus, By putting quadratic formula:         2  

7. Putting : Solution set:  

8. Type (2) The equation of the type:   Example: In this types of equation, the Let us suppose this example:  

9. Putting By putting quadratic formula: y      

10. Putting :   Solution set:

11. Type (3) The type of equation   Example: The equations are called as reciprocal equations. An equation is said to be reciprocal if it remains unchanged when This type can also be written as : In this type we have to convert this equation into the square of x.  

12. Let us suppose this example: Diving the equation with Let: :  

13. By putting the values: By putting the values :  

14.     Solution set:

15. Type (4) The type of equation: Exponential equation Example: In this type of equation or in exponential equation variable occur in exponents. e.g. the variable occur in exponent like Let us under stand this type with the help of an example:  

16. Let By factorization:  

17. Putting :     Solution set:

18. Type (5) The type of the equation:   Example: In this type of equation the First we will multiply two brackets and then place y in the place of same terms.  

19. Let Putting  

20. x   Solution set:  

21. ANY QUESTION? THANK YOU 