Simple equation ko tricks ya shortcuts se kaise karte hai?part -3
Simple equation ko tricks se solve karne ka ye third part hai.
- First wale part me first type ka Simple equation oar second type ka simple equation ko tricks se lagana shikha.
- Second part me second aor third type k simple equation ko tricks se lagana shikha.
Aaj k iss third part me mai aapko fourth type ka simple equation k baare me tricks se lagana batauga. To chaliye start karte hai -:
Fourth type ka simple equation -:
Fourth type k simple equation ko tricks se solve karne k liye formula -:
Uppar diye formula ka use kark hum fourth type k simple equation ko kuch hi second me solve kar sakate hai. Ab isk kuch example dekhate hai.
Example -1. [ 4/(x+3)] + [ 5/(x+6)]=0
Tricks -: [4/(x+3)] + [5/(x+6)]=0 ye fourth type ka simple equation hai. Isse hum fourth type
formula se solve karege -:
Iss k liye formula-:
X = [-ad - bc]/(a+b)
Iss equation me , a=4, b=5, c=3, and d=6 ye sabhi value formula me rakhane par -:
x = [-(4)(6) - (5)(3)]/[4+5]
x = [-24 - 15]/9
x = -39/9
x = -13/3 Ans.
Example-2. [3/(x+2)]-[7/(x-5)]=0
Tricks-: sabse pahale hum [3/(x+2)]-[7/(x-5)]=0 ko fourth type k simple equation me change karenge kyuki simple equation [a/(x+c)]+[b/(x+d)]=0 type ka hota but example me "-" ( minus aaya hai. To change karne k baad hume ye equation milega-:
[3/(x+2)]+[(-7)/(x-5)]=0
ab iss simple equation me -:
a=3 , b=-7,c=2, d=-5
Ab fourth type k simple equation ka formula use karne par -:
x=[ -(3)(-5)-(-7)(2)]/3+(-7)
x=[15+14/(-4)]
x=29/(-4) Ans
Example-3. [-8/(x-3)]+[6/(x-2)]=0
Tricks- a=-8, b=6 ,c=-3 ,d=-2
sabhi value formula me rakhane par -:
x= [ -(-8)(-2)-(6)(-3)]/(-8)+6
x= [-16+18]/(-2)
x=[2/-2]
x=1 Ans
Example-4. [70/x-20] - [80/x-25]=0
Tricks-: iss example ko pahale aise likhe-:
[70/x-20]+[(-80)/x-25]
a=70 , b=-80 , c=-20,d=-25 ye sabhi value formula me rakhne par-:
x=[-(70)(-25)-(-80)(-20)]/ [70-80]
= [1750-1600]/10
= 150/10
= 15 Ans
Example-5. [5/x-5]-[14/x+4]=0
Tricks-: a=5,b=(-14) ,c=(-5),d=4
x= [-(5)(4)-(-14)(-5)]/5+4
=[-20-70]/9
= -90/9
=-10 Ans.
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