class 10th board question:
solve only if you know the solution
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sargamkashyap:
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Answer:
x= -a & x= -b
Step-by-step explanation:
1/a+b+x= 1/a +1/b +1/x
1/a+b+x - 1/x =1/a +1/b
x-(a+b+x)/(a+b+x)(x)=b+a/ab ( taking l.c.m )
-(a+b)/(a+b+x)(x)=b+a/ab
-1/(a+b+x)(x)= ab ( cancelling out a+b and -(a+b) )
-ab=(a+b+x)(x)
(a+b+x)(x) + ab = 0
x² + ax +bx + ab =0
x(x+a) + b(x + a) =0
(x+a)(x+b)=0
x = -a , x = -b
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