Answer :
cost= 200 rs
length of the cable=x meter
then cost of one meter=[tex] \frac{200}{x} [/tex]
length of the cable(if)= x+5
cost of one meter=[tex] \frac{200}{x+5} [/tex]
we know that
[tex] \frac{200}{x} - \frac{200}{x+5} =2 \\ \\ \frac{200x+100-200x}{ x^{2} -5x} =2 \\ \\ \frac{100}{ x^{2} -5x} =2 \\ \\ 2 x^{2} -10x=100 \\ divide/all/terms/by/2 \\ x^{2} -5x=50 \\ x^{2} -5x-50=0 \\ (x-10)(x+5)=0 \\ x=10/ or/ x=-5 \\ [/tex]
length of the cable= 10 m
length of the cable=x meter
then cost of one meter=[tex] \frac{200}{x} [/tex]
length of the cable(if)= x+5
cost of one meter=[tex] \frac{200}{x+5} [/tex]
we know that
[tex] \frac{200}{x} - \frac{200}{x+5} =2 \\ \\ \frac{200x+100-200x}{ x^{2} -5x} =2 \\ \\ \frac{100}{ x^{2} -5x} =2 \\ \\ 2 x^{2} -10x=100 \\ divide/all/terms/by/2 \\ x^{2} -5x=50 \\ x^{2} -5x-50=0 \\ (x-10)(x+5)=0 \\ x=10/ or/ x=-5 \\ [/tex]
length of the cable= 10 m
200/x-200/x+5=2 (/ means upon)
=200x+100-200x/x sq-5x=2
100/x sq-5x=2
2xsq-10x=2
x sq-5x = 50 (divide the terms by 2 )
x sq-5x-50=0
(x-10)(x+5)=0
x= 10,x=-5
=200x+100-200x/x sq-5x=2
100/x sq-5x=2
2xsq-10x=2
x sq-5x = 50 (divide the terms by 2 )
x sq-5x-50=0
(x-10)(x+5)=0
x= 10,x=-5