An electric cable costs Rs. 200. If the cable was 2m longer and each meter of cloth cost Rs 2 less, the cost of the cable would remain unchanged. Represent the above situation in the form of quadratic equation.

Explanation

let the length of the cable` = L meters`


the cost of the cable = 200 / L Rs/meter`


given `( L + 3) * (200/L - 2) = Rs 200`

` 200 - 2 L + 600/L - 6 = 200`

simplifying

` L² + 3 L - 300 = 0`

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