Question

An electric cable cost & 200 If
the cable was 5 metres longer
and each metre of cable cost & 2 less,
the cost of cable would have remained
unchanged. Represent the above
situation in the form of a quadratic
equation​

Answer 1

Hey there:)

Step-by-step explanation:

Let the length of the cable is x m.

Cost of the cable = Rs (200/x) per m.

Given, If the cable was 5 metres longer and each metre of cable cost Rs.2 less,

the cost of cable would have remained unchanged

=> (x + 5) * (200/x - 2) = 200

=> x(200/x) - 2x + 5(200/x) - 10 = 200

=> 200 - 2x + 1000/x - 10 = 200  

=> -2x + 1000/x - 10= 0

=> 2x - 1000/x +10 = 0

=> (2x2 - 1000 + 10x)/x = 0

=> 2x2 + 10x - 1000 = 0

=> 2(x2 + 5x - 500) = 0

=> x2 + 5x - 500 = 0

This is the required equation.

hope it helps!!