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One of the roots of equation 5m2 + 2m + k = 0 is  \(-7\over5\) .Complete the following activity to find the value of ’k’.

Solution :  ......... is a root of quadratic equation 5m2 + 2m + k = 0
                Put m = .........   in the equation.
                5 * .........2  + 2 * ......... + k=0 
                .........+.........+ k = 0
                .........+ k = 0
                k =.........

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Sol.   \(-7\over5\)   is a root of quadratic equation 5m2 + 2m + k = 0

∴        Put m = \(-7\over5\)  in the equation.

          5 ×\(({-7\over5})^2\) + 2 × \(-7\over5\) + k = 0

∴                   \(49\over 5\) + \(({-14\over 5})\) + k = 0

∴                             \(49 – 14\over 5\) + k = 0

∴                                 \(35\over 5\) + k = 0

∴                                   7 + k = 0
∴                                         k = –7

uÉaÉïxÉqÉÏMüUhÉ August 24 , 2018 0 Comments 37 views