रविवार, सितंबर 13, 2015

simple equation ko tricks se kaise kare? part-2 Hindi


Simple equation ko tricks ya shortcuts se solve kaise karte hai  ?  part -2

Simple equation ko tricks ya shortcuts se solve karne ka ye second post hai. Agar aapne iss topic ka first part nhi pada to yaha click kark pade  to chaliye jaha se maine first part me chhoda tha usi k aage se start kart hu.
Hum second type k simple equation ko tricks se solve karna first part me shikh rhe the,  to aayiye iske kuch aor example dekhte hai. 

Example -3.                 (x+7)(x+9) = (x+3)(x+21)

Tricks -:                second type k simple equation k liye formula -:
                   
                              x = ( cd - ab )/ (a + b - c - d)

Ab question me  , a = 7 ,b= 9 ,c=3, and d=21 inn sabhi value ko formula me rakhne par -:

                            x = ( 3*21 - 7*9)/(7+9-3-21)
                            x = ( 63 - 63 ) / ( 16 - 24 )
                            x = 0 / -8
                            x = 0    Ans.

Example - 4.               (x+7)(x+9) = (x-8)(x-11)

Tricks -:             equation me  a=7,b=9,c= -8 , d = -11 

Uppar diye formula me sabhi ki value rakhege -:

                     x = [ (-8)(-11) - 7*9] / [ 7 +9 - (-8) - (-11)]
                     x = [ 88 - 63 ] /[ 16 +8+11]
                     x = 25/ 35
                     x = 5/7  Ans. 

To ye sab second type k simple equation ko tricks se solve karne ka method hai. Ab hum aage badate hai. 

Third type k simple equation -:

Third type ka simple equation  ka general figure niche diye equation ki tarah hota hai. -:
mathstricks12.blogspot.com


                                       
third type k simple equation k liye shortcuts formula -:

                                          x = ( ce - fb ) / ( af - dc )

Uppar diye formula k use kark hum jaldi se jaldi iss type k simple equation ko solve kar sakte hai. 

Example -1.               (2x +1)/ (5x +2 ) = 3/2

Tricks -:                      uppar diye equation me ,  a= 2 , b=1, c = 3 , d=5 , e = 2, and  f = 2 hai, ab
                      Third type k equation wale fomula me ye value rakhne par 

                                      x = (3*2 - 2*1)/(2*2 - 5* 3)
                                      x = (6 - 2) / (4 - 15 )
                                      x = 4 / (-11)      Ans.

Example -2.                ( 3x - 5) / ( 4x - 6) = 5/2

Tricks -:          ye third type ka simple equation hai .jisme " x" ki value find karni hai. 
                      Iss simple equation me hume third type ka formula lagana hai. To iss equation me -:         a = 3 , b = (-5) , c = 5 , d = 4 , e = (-6) , and  f = 2 
Ab inn sabhi value ko " third type k simple equation k formula me rakhane par -:

                                 x = [ (5)(-6) - (2)(-5)] / [(3)(2) - (4)(5)]
                                 x = [(-30) - (-10)] / [6 - 20]
                                 x = [ (-30) + 10 ] / [ -14]
                                 x = [ -20 ] / [ -14]
                                 x = 20/14
                                 x =10/7     Ans.

Example -3   


To aapne iss post me second aor third type k simple equation ko tricks se lagana shikha .abhi aor type hai, simple equation ko tricks se solve karne k unhe ab next post me batauga. Aapko ye post kaisa laga comments kark jarur bataye.

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