One of the roots of equation 5m^2 + 2m + k = 0 is -7/5. Complete the following activity to find the value of k.
One of the roots of equation \(5m^2 + 2m + k = 0\) is \(\frac{-7}{5}\). Complete the following activity to find the value of \(k\).
Solution: \(\square\) is a root of quadratic equation \(5m^2 + 2m + k = 0\). ∴ Put \(m = \square\) in the equation. \(5\times\square^2 + 2\times\square + k = 0\); \(\square + \square + k = 0\); \(\square + k = 0\); \(k = \square\)