solve for 1 by a + b + x is equal to 1 by a + 1 by b + 1 by x
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Answer:
x = -a or -b
Step-by-step explanation:
Given,
1/a+b+x = 1/a + 1/b + 1/x
so,
1/a+b+x -1/x = 1/a + 1/b
x - a - b - x /x (a+b+x) = a+b/ab
-(a+b)/x (a+b+x) = a+b/ab
-1/ x (a+b+x) = 1/ ab
ax + bx + x2. = - ab
x2 + ax + bx + ab = 0
x (x+a) + b (x+a) = 0
(x+a)(x+b) = 0
thus zeros ,
x+ a = 0. and x +b = 0
× = -a. and. x = - b
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