Question

one of the roots of equation 5msquare +2m+k=0 is -7 upon 5 find value if k​

Answer 1

Answer:

Given, one root of the equation = - 7 / 5

Equation , 5m^2 + 2m + k = 0

so

$5 {m}^{2} + 2m + k = 0 \\ \\ = > 5( \frac{ - 7}{5} ) + 2( \frac{ - 7}{5} ) + k = 0 \\ \\ = > \frac{ - 35}{5} + (\frac{ - 14}{5} ) + k = 0 \\ \\ = > \frac{ - 35}{5} - \frac{14}{5} + k = 0 \\ \\ = > \frac{ - 35 - 14 + 5k}{5} = 0 \\ \\ = > \frac{ - 49 + 5k}{5} = 0\\ \\ = > - 49 + 5k = 0 \\ \\ = > 5k = 49 \\ \\ = > k = \frac{49}{5}$

hope it helps uH ✌