Question

roots of equation 1/a+b+x = 1/a+1/b+1/x,a+b
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Answer 1

Step-by-step explanation:

1/(a+b+x) - 1/x = 1/a + 1/b

=> -(a+b)/x(a+b+x) = (a+b)/ab. Cancel (a+b) from both sides & cross multiply

=> -ab = x(x+a+b)

=> x^2+(a+b)x+ab = 0

=> (x+a)(x+b) = 0

x = -a or -b Ans