One of the roots of the quadratic equation \(5m^2 + 2m + k = 0\) is \(\dfrac{-7}{5}\). Complete the following activity to find the value of ‘\(k\)’.Solution :\(\dfrac{-7}{5}\) is a root of quadratic equation \(5m^2 + 2m + k = 0\).\(\therefore\) put \…
Q.3 (A)(ii) One of the roots of the quadratic equation \(5m^2 + 2m + k = 0\) is \(\dfrac{-7}{5}\). Complete the following activity to find the value of ‘\(k\)’.
Solution :
\(\dfrac{-7}{5}\) is a root of quadratic equation \(5m^2 + 2m + k = 0\).
\(\therefore\) put \(m = \dfrac{-7}{5}\) in the equation.
\(\therefore 5 \times \left(\text{____}\right)^2 + 2 \times \left(\text{____}\right) + k = 0\)
____ \(+\) ____ \(+ k = 0\)
____ \(+ k = 0\)
\(\therefore k =\) ____