HEY GUYS PLEASE HELP ME SOLVE THIS
1/p + 1/q + 1/x = 1/x+p+q HINT. TAKE ( 1/p + 1/q ) + ( 1/x - 1/x+p+q) = 0.
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2
Answer:
Step-by-step explanation:
1/x - 1/(p+q+x) = ((x+p+q)-x)/x(p+q+x) = (p+q)/(px+qx+x^2)
Now, the hint's equation is
1/p + 1/q +(p+q)/(px+qx+x^2) = 0
(p+q)/pq + (p+q)/(px+qx+x^2) =0
Dividing by p+q on LHS and RHS,
1/pq + 1/(px+qx+x^2) =0
=> (px+qx+x^2) + pq =0
=>x^2 +(p+q)x +pq =0
=> (p+x)(q+x) = 0
so x= -p, -q
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Answer:
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