1/a+1/b+1/x=
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Gaurav Seth 5 years, 4 months ago
QUESTION: Solve; 1/a+b+x=1/a+1/b+1/x
Answer:
1/(a+b+x)=1/a + 1/b + 1/x
1/(a+b+x) -1/x = 1/a + 1/b
x-(a+b+x)/x(a+b+x) = a+b/ ab
-1(a+b) /x(a+b+x) = a+b/ ab
-1(a+b)/(a+b) = x(a+b+x)/ab
-1=x(a+b+x) / ab
-ab= (a+b)x + x2
so, x2 + (a+b)x +ab = 0
now, A = 1, B=(a+b) C= ab..
so, D = B2 - 4AC
=(a+b)2 - 4ab
= (a-b)2
so, x = (-B + root D)/2A and (-B-root D)/2A
= -a-b+a-b /2*1 and -a-b-a+b /2*1
= -2b/1 and -2a /1
so,x = -2b or -2a .
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