Factorize:(100/x)-(100/x+5)=1
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Answer:
(x-20)(x+25)=0
x=20, -25
Step-by-step explanation:
(100/x)-(100/x+5)=1
{100(1/x)-(1/x+5)}=1
{100((x+5)-(x))/(x(x+5))}=1
{100((x+5-x))/(x²+5x)}=1
500/(x²+5x)=1
500=x²+5x
x²+5x-500=0
x²+25x-20x-500=0
x(x+25)-20(x+25)=0
(x-20)(x+25)=0
x=20, -25
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