Math, asked by shahhussain15047, 11 months ago

solve for 1 by a + b + x is equal to 1 by a + 1 by b + 1 by x

Answers

Answered by AkashDobriyal
1

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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