Question

Factorize:(100/x)-(100/x+5)=1​

Answer 1

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