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InterviewSolution
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Solve each of the following quadratic equations: `(a)/((x-b))+(b)/((x-a))=2,xneb,a` |
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Answer» Correct Answer - `x=(a+b)" or "x=((a+b))/(2)` The given equation is `((a)/(x-b)-1)+((b)/(x-a)-1)=0` `implies" "((a-x+b))/((x-b))+((a-x+b))/((x-a))=0` `implies" "(a-x+b).[(1)/((x-b))+(1)/((x-a))]=0` `implies" "(a-x+b)[(2x-(a+b))/((x-a)(x-b))}=0` `implies" "(a-x+b)[2x-(a+b)]=0` `implies" "x=(a+b)" or "x=((a+b))/(2)` |
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