Thursday, May 30, 2013

05 Basics of Quadratic Equations (Grades 9 to 12) Part-05

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Dear Students,

Download following files for learning Formulas more effectively. Take the print out of these files and write your answers daily to improve your scores in 10th standard/grade.

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Following two files are very important to improve your base for remembering the formulas. It is 100 % free for all the students of the world. Download these two files, take the Print Out of these files on two sides of the paper and practice these formulas for your benefit to get high scores in Mathematics Standard 10/ Grade 10.

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In the Previous Blog we had seen some important concepts of Quadratic Equation.
Some special and critical types of the factors:
Please download the following file and study it very carefully so that you will not find any difficulties while solving quadratic equations. 
Click HERE to download the file " Critical-type-of-factors.pdf "
Just go through this downloaded file and be prepared to solve any problem pertaining to these critical factors.

c]  Solve the quadratic equation  a x 2 + b x + c = 0 using perfect square method.

Solution:
      1) Shift c to RHS we get  a 2 + b x  = - c 
      2) Dividing the equation by " a " through out 
          So,   2 + (b / a) x  = - (c / a)                  Here third term = ( 1/2 coefficient of  x ) 2 
                                                                                = ( 1/2 (b / a) 2
                                                                                = (b / 2 a2
                                                                                = 2/ 4 a 2




Now we will see few quadratic equation using formula method.
a) Solve the quadratic equation  x 2 - 4 x - 21 = 0.
Solution:
       1) Comparing  2 - 4 x - 21 = 0 with a x 2 + b x + c = 0 we get,
            a = 1, b = - 4, c = - 21
       2) Here Discriminant
                                                =  (- 4 )2 - 4 (1) ( - 21) 
                                                =  16 + 84       
                                                =  100
















Few more problems on Quadratic Equations will be discussed in the next Blog

Anil Satpute