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Answer:
x=-a or 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=a+b/ab
x-a-b-x/(a+b+x)x =a+b/ab
-(a+b)/(a+b+x)x =a+b/ab
-1/(a+b+x)x = 1/ab
ax + bx +x^2= -ab
x^2+(a+b)x+ab=0
we have,
x=-(a+b)+(a-b)/2. or x= -(a+b)-(a-b)/2
x=-2b/2. x= -2a/2
x= -b. = - a
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